# Which of the following is an accurate statement about vectors? it is possible to add a scalar quantity to a vector. if two (2023)

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22.05.2023, solved by verified expert

The magnitude of a vector may be positive even if all of its components are negative.
In fact, the length of a vector is calculated as
lvl = root ((a) ^ 2 + (b) ^ 2)
Where a and b are components of the vector, both can be less than zero, however the result of the magnitude of the vector is positive.

The magnitude of a vector may be positive even if all of its components are negative.

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### Faq

Physics

Which of the following is an accurate statement about vectors? it is possible to add a scalar quantity to a vector. if two vectors have unequal magnitudes, it is possible that their vector sum is zero. rotating a vector about an axis passing through the tip of the vector does not change the vector. the magnitude of a vector can be zero even if one of its components is not zero. the magnitude of a vector may be positive even if all of its components are negative.

The magnitude of a vector may be positive even if all of its components are negative.
In fact, the length of a vector is calculated as
lvl = root ((a) ^ 2 + (b) ^ 2)
Where a and b are components of the vector, both can be less than zero, however the result of the magnitude of the vector is positive.

The magnitude of a vector may be positive even if all of its components are negative.

Physics

Need some help with some physics work. i dont want overdue homework. 1.which of the following best describes a scalar value? a. a measurement in more than one dimension that involves a magnitude and direction b.a measurement in a single dimension that involves more than one number c. a measurement that easily scales from one dimension to another d. a measurement in a single dimension that involves only one number. 2.which of the following is an accurate statement about vectors? a. rotating a vector about an axis passing through the tip of the vector

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1.) B

2.) E

Explanation:

A scalar quantity is the quantity in which we consider only it magnitude but not its direction.

1.) which of the following best describes a scalar value?

The best option is D and

d. a measurement in a single dimension that involves only one number

Also, Vector quantity is the quantity in which we consider both the magnitude and the direction.

2.) Which of the following is an accurate statement about vectors?

The best option is E

the magnitude of a vector may be positive even if all of its components are negative.

For instance, if two vectors are moving in a south and west direction, the resultant vector will still be positive.

Physics

Which of the following is an accurate statement about vectors? the magnitude of a vector may be positive even if all of its components are negative. the magnitude of a vector can be zero even if one of its components is not zero. if two vectors have unequal magnitudes, it is possible that their vector sum is zero. rotating a vector about an axis passing through the tip of the vector does not change the vector. it is possible to add a scalar quantity to a vector.

The magnitude of a vector may be positive even if all of its components are negative.

Explanation:

A vector has both magnitude and direction unlike a scalar which has magnitude only.

A vector can be written in terms of its components:

The magnitude of the vector is given by:

Thus, even if all the components of the vector are negative, the vector can have a positive magnitude.

The magnitude would be non-zero if one of its components is non-zero.

some of two vectors involves summation of magnitudes of of the vector components in the same direction. Two vectors having unequal magnitudes cannot have vector sum zero.

Rotating a vector about an axis passing through the tip of the vector changes the vector as the direction changes.

A scalar quantity cannot be added to a vector as it lacks the direction.

Physics

Bees can see into the ultraviolet region of the electromagnetic spectrum. Compared with humans, bees can sense electromagnetic waves that have a lower frequency and a shorter wavelength. a higher frequency and a longer wavelength. a lower frequency and a longer wavelength. a higher frequency and a shorter wavelength.

(Video) Addition of Vectors and Subtraction of Vectors - Part 1 | Don't Memorise

Options:
a. a lower frequency and a shorter wavelength.
b. a higher frequency and a longer wavelength.
c. a lower frequency and a longer wavelength.
d. a higher frequency and a shorter wavelength

d. a higher frequency and a shorter wavelength

Explanation:
The frequency of a wave is inversely proportional to its wavelength. That means that waves with a high frequency have a short wavelength, while waves with a low frequency have a longer wavelength. Light waves have very, very short wavelengths.
For example, Gamma rays have the highest energies, the shortest wavelengths, and the highest frequencies. Radio waves, on the other hand, have the lowest energies, longest wavelengths, and lowest frequencies of any type of EM radiation.

Physics

An amateur player is about to throw a dart with an initial velocity of 15 meters/second onto a dartboard that is at a distance of 2.7 meters. Calculate the vertical distance by which the player will miss the target if he throws the dart horizontally, in line with the dartboard.

Options:
a. 0.08 meters
b. 0.16 meters
c. 0.32 meters
d. 1.8 meters

b. 0.16 meters

Explanation:
In the picture

Physics

The system shown above consists of two identical blocks that are suspended using four cords, each of a different length. Which of the following claims are true about the magnitudes of the tensions in the cords?

Answer: Option B and C are True.

Explanation:
The weight of the two blocks acts downwards.
Let the weight of the two blocks be W. Solving for T₁ and T₂:
w = T₁/cos 60° -----(1);
w = T₂/cos 30° ----(2);
equating (1) and (2)
T₁/cos 60° = T₂/cos 30°;
T₁ cos 30° = T₂ cos 60°;
T₂/T₁ = cos 30°/cos 60°;
T₂/T₁ =1.73.
Therefore, option a is false since T₂ > T₁.
Option B is true since T₁ cos 30° = T₂ cos 60°.
Option C is true because the T₃ is due to the weight of the two blocks while T₄ is only due to one block.
Option D is wrong because T₁ + T₂ > T₃ by simple summation of the two forces, except by vector addition.

Physics

Abbey always gets zits on her chin and she can t figure out the best method to get rid of them. She decides to test several products to see which clears her face up fastest: washing with soap and water, washing with an acne face wash from the pharmacy, and washing her face with organic oils. For one week she just washes her face with water. The next week she washes every day with soap and water. The following week she uses the acne wash, and the last week she uses the organic oils. Each week she records the number of zits she has on her chin at

(Video) Scalars and Vectors

Independent variable: the best method to get rid of them.

Dependent variable: washing with soap and water.

Hypothesis: Organic oils

Control group: water

Physics

Sandra has five cubes each made of a different metal. Each cube has a mass of 100 grams. Which procedure should Sandra use to best determine which metal cube transfers to most heat to 500 grams of water? A. Heat each cube to a the same temperature, place each cube into different containers with 500 grams of water at different temperatures, and measure the temperature of the water. B. Heat each cube to a different temperature, place each cube into different containers with 500 grams of water at the same temperature, and measure the temperature of

Option D

Step-by-step explanation:

D.
Heat each cube to the same temperature, place each cube into different containers with 500 grams of water at the same temperature, and measure the temperature of the water.

Physics

A puck moves 2.35 m/s in a -22.0° direction. A hockey stick pushes it for 0.215 s, changing its velocity to 6.42 m/s in a 50.0° direction. What was the magnitude of the acceleration?

7.25 secs.

Explanation:
First find the distance it takes to stop
s = [v^2-u^2]/2a = 0^2 - 8.7^2/2[-2.4] = 8.7^2/4.8
Next find the time it takes to go that distance , s = ut +[1/2] at^2
8.7^2/4.8 = 8.7t +[1/2] [ -2.4]t^2 , rearrange and
t^2 -[8.7/1.2]+ 8.7^2/[(1.2)(4.8)]=0 complete the square
[t - (8.7/2.4)]^2=0
t = 8.7/2.4 = 3.625 secs
At this stage the deceleration will push the object back in the direction it came from for another 3.625 secs when it will be 8.7 m/s again
Total time , T =2t = 7.25 secs.

Note:
The term differential is used in calculus to refer to an infinitesimal (infinitely small) change in some varying quantity. For example, if x is a variable, then a change in the value of x is often denoted Δx (pronounced delta x). The differential dx represents an infinitely small change in the variable x.

Physics

compare the momentum of a 6,300 kg elephant walking 0.11 m/s and a 50-kg dolphins swimming 10.m/s

First sum applied the Newton's second law motion: F = ma
Force = mass* acceleration
This motion define force as the product of mass times Acceleration (vs.Velocity). Since acceleration is the change in velocity divided by time,
force=(mass*velocity)/time
such that, (mass*velocity)/time=momentum/time
Therefore we get mass*velocity=momentum
Momentum=mass*velocity
Elephant mass=6300 kg; velocity=0.11 m/s
Momentum=6300*0.11
P=693 kg (m/s)
Dolphin mass=50 kg; velocity=10.4 m/s
Momentum=50*10.4
P=520 kg (m/s)
The elephant has more momentum(P) because it is large.

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## FAQs

### Which of the following is an accurate statement about vectors? it is possible to add a scalar quantity to a vector. if two? ›

ANSWER: The magnitude of a vector is independent of the coordinate system used. Even though two vectors have unequal magnitudes, it is possible that their vector sum is zero.

Is it possible to add a scalar quantity to a vector? ›

Vectors have both magnitude and direction whereas scalars have only magnitude, so they cannot be added.

Which of the following is correct about vectors and scalars? ›

Scalar quantities have only magnitude; vector quantities have both magnitude and direction. Time is completely separated from direction; it is a scalar. It has only magnitude, no direction.

Which statement is true about vectors and scalars? ›

TRUE - Vectors are fully described by magnitude AND direction; scalars are not described with a direction.

Is it possible to add any two vectors? ›

Two vectors can be added together to determine the result (or resultant).

Can you add a scalar and a scalar? ›

Straight addition of numbers is referred to as scalar addition. With scalar addition, all you have to do is add your values together. You don't have to worry about anything else. In physics, both mass and charge are scalar quantities, so you can use scalar addition with both of these.

Can scalar quantities be added to vector quantities using rules? ›

• A vector is a quantity that has magnitude and acts in a certain direction.
• Scalar describes a quantity that has magnitude but no definite direction.
• So scalar quantities can be added using the arithmetic rule because they have no direction.

What is the difference between vector and scalar quantity? ›

A scalar quantity is different from a vector quantity in terms of direction. Scalars don't have direction, whereas a vector has. Due to this feature, the scalar quantity can be said to be represented in one dimension, whereas a vector quantity can be multi-dimensional.

What is the difference between a scalar and a vector quantity? ›

These two categories can be distinguished from one another by their distinct definitions: Scalars are quantities that are fully described by a magnitude (or numerical value) alone. Vectors are quantities that are fully described by both a magnitude and a direction.

Which of the following statement is true about vector? ›

A vector quantity has magnitude, direction, and it follows laws of vector algebra.

### Do vectors add like scalars? ›

No, it is not possible to add a vector and a scalar. Vectors are two-dimensional, because they have both a magnitude and a direction, whereas scalars are one-dimensional. In other words, these are two entirely different mathematical objects, so they cannot be combined with addition.

Which statement is false about vector? ›

The magnitude of a vector is always a scalar. -Correct Answer B Each component of a vector is always a scalar. -Your Answer Two vectors having different magnitudes cannot have their resultant zero.

Which of the following statement is true about scalar quantity? ›

Scalar quantity is defined only by its magnitude. Hence, it has the same value for observers with different orientations of the axes.

Is it possible to add 2 vectors of unequal? ›

Two vectors of unequal magnitude cannot add up to give a resultant zero vector. In the case of three vectors of unequal magnitude, the vector sum will be equal to zero if the vector sum of any two vectors is equal to the negative of the third vector.

What happens when two vectors are added? ›

The law states, “If two vectors acting simultaneously at a point are represented in magnitude and direction by the two sides of a parallelogram drawn from a point, their resultant is given in magnitude and direction by the diagonal of the parallelogram passing through that point.”

Can two scalars be added? ›

Only two such scalars can be added which represent the same physical quantity. (b) No. A scalar cannot be added to a vector even of same dimensions because a vector has a direction while a scalar has no direction e.g., speed cannot be added to velocity.

What are the rules for vectors and scalars? ›

Vector quantities have two characteristics, a magnitude and a direction. Scalar quantities have only a magnitude. When comparing two vector quantities of the same type, you have to compare both the magnitude and the direction. For scalars, you only have to compare the magnitude.

Is it possible for a quantity to be neither a scalar quantity nor a vector quantity? ›

The magnitude, direction, and plane in which a quantity behaves or is defined in relation to its coordinate system are called tensor quantities. These are the quantities that are neither vector nor scalar.

Can you add a vector to a scalar can you multiply a vector by a scalar? ›

A vector can be multiplied by a scalar. But, a scalar quantity cannot be multiplied by a vector.

Can product of two vectors be scalar? ›

The scalar product of two vectors is defined as the product of the magnitudes of the two vectors and the cosine of the angles between them.

### Can you cross product a vector and scalar? ›

Hence, we cannot cross product a scalar and a vector.

What are the three differences between scalar and vector quantity? ›

A scalar quantity has only magnitude, but no direction. Vector quantity has both magnitude and direction. Every scalar quantity is one-dimensional. Vector quantity can be one, two or three-dimensional.

What is an example of a scalar quantity and a vector quantity? ›

Examples of Scalar and Vector Quantities

Some common examples of scalar quantities are mass, time, speed, volume, temperature, density, and many more. Displacement, velocity, acceleration, momentum, force, weight, etc. quantities are represented by vectors.

Why is work a scalar quantity and not a vector? ›

Work is defined as a scalar because it depends on the net distance involved, regardless of the direction. If the object winds up where it started, no work is performed because the distance is zero. So work is the transfer of energy from one body to another in which direction is not important.

What is the difference between scalar and vector quantities giving examples of each type? ›

Examples of scalar quantity are – speed, time, mass, electric charge, volume, temperature, gravitational force, etc. Examples of vector quantity are – displacement, velocity, electric field, acceleration, polarization, force, linear momentum, etc. The resultant of two scalar quantities will be a scalar quantity only.

What is the difference between scalars and vectors explain in brief with some example? ›

Thus, a few examples of these are force, speed, velocity and work. Moreover, we often describe these quantities as a scalar or a vector quantity.
...
Difference Between Scalars and Vectors.
Basis of ComparisonVectorScalar
DefinitionA physical quantity with both magnitude and direction.A physical quantity with only magnitude.
DirectionYesNo
3 more rows

What is the difference between a vector and a scalar quizlet? ›

The difference between scalar vs vector quantities is that a scalar is a one dimensional measurement of a quantity like weight. A vector quantity is more than one number associated with it.

What is a fact about vector? ›

vector, in physics, a quantity that has both magnitude and direction. It is typically represented by an arrow whose direction is the same as that of the quantity and whose length is proportional to the quantity's magnitude. Although a vector has magnitude and direction, it does not have position.

Which of the following is not true about vector quantities? ›

Examples Displacement, velocity, force, weight, torque, momentum, acceleration, velocity, etc. EXPLANATION: From the above table, it is clear that speed is not a vector quantity.

Does vector addition hold true for any two vectors? ›

Yes, if we add the same two vectors in a different order it will still give the same resultant vector.

### Can scalar quantities be added to other? ›

Scalar quantities have both magnitude and direction. Scalar quantities can be added to vector quantities using rules of trigonometry. Scalar quantities can be added to other scalar quantities using rules of ordinary addition.

How does a scalar affect a vector? ›

When a vector is multiplied by a scalar, the size of the vector is “scaled” up or down. Multiplying a vector by a positive scalar will only change its magnitude, not its direction. When a vector is multiplied by a negative scalar, the direction will be reversed.

Which of the following is a vector correct answer? ›

The Correct Answer is Velocity. Velocity is a vector quantity.

Is a vector quantity True or false? ›

When a body moves with a constant velocity, it signifies that the body moves with a constant speed in a particular direction. Thus, the given statement that, 'Velocity is a vector quantity' is true.

Where is a vector quantity True or false? ›

Is a scalar quantity True or false? ›

The correct option is (B) False. Note: Mass of a body is scalar quantity. Mass has only magnitude, not direction.

What is true about vector quantity? ›

TRUE - Vectors are defined as quantities which are fully described by both their magnitude and direction. By definition, a vector has a direction associated with it. If it didn't, then it would NOT be a vector.

Is scalar a scalar quantity? ›

scalar, a physical quantity that is completely described by its magnitude. Examples of scalars are volume, density, speed, energy, mass, and time. Other quantities, such as force and velocity, have both magnitude and direction and are called vectors.

What are the 3 rules of vectors? ›

rule 1 - There exists a zero vector. rule 2 - A vector A multiplied by a scalar m is a vector, unchanged in direction, but modified in length by the factor m. rule 3 - The negative of a vector is the original vector flipped 180 degrees;.

What are the three rules of vector addition? ›

• Triangle law of vector addition.
• Parallelogram law of vector addition.

### What rule do we follow in adding vectors in general? ›

The vector addition obeys the law of associativity and is commutative.

Is it possible to add two vectors of unequal magnitude and get a zero? ›

So no it's not possible to have 2 vectors of unequal magnitude and get zero vector.

Is it possible to add two vectors of unequal magnitude and get the row is it possible to add three vectors of equal magnitude and get zero? ›

No, by adding two unequal vectors in magnitude we cannot get a zero vector. In order to get a zero vector, they must be equal in magnitude and opposite in direction such that they cancel out other. Yes, we can get a zero vector by adding three different vectors of equal magnitude.

Is it possible to add three vectors of unequal? ›

Yes, three vectors having unequal magnitude can add up to give a zero vector. This can occur in the case of a triangle whose each vertex is formed from a head and tail of successive vectors. Q.

Is the addition of two vectors always scalar or vector? ›

Difference Between Scalars and Vectors
ScalarsVectors
The resultant of two scalars is always a scalar quantity.The resultant of two vectors is either a scalar or a vector quantity.
Every scalar is a one dimensional quantity.A vector can be either one, two or a three dimensional quantity.
3 more rows
Apr 28, 2023

What if two vectors are multiple of each other? ›

Two vectors a and b are said to be parallel vectors if one is a scalar multiple of the other. i.e., a = k b, where 'k' is a scalar (real number). Here, 'k' can be positive, negative, or 0.

Can scalars be added together? ›

For example, the temperature of a certain body, the mass of an object or the distance between two points. The rules for combining the scalar quantities are very simple rules of primary algebra. Scalar components can be added, subtracted, multiplied and divided by each other like normal numbers.

Can you cross a vector with a scalar? ›

A mathematical joke asks, "What do you get when you cross a mountain-climber with a mosquito?" The answer is, "Nothing: you can't cross a scaler with a vector," a reference to the fact the cross product can be applied only to two vectors and not a scalar and a vector (or two scalars, for that matter).

Can we add any two scalar quantities? ›

Only two such scalars can be added which represent the same physical quantity. (b) No. A scalar cannot be added to a vector even of same dimensions because a vector has a direction while a scalar has no direction e.g., speed cannot be added to velocity.

Why can't you cross a vector with a scalar? ›

Since a scalar has no direction, you cannot cross a vector with a scalar.

Answer and Explanation: In general, scalars can only be added to scalars while vectors can only be added to vectors. The sum of scalars is still a scalar while the sum of vectors is still a vector.

What is the relationship between scalar and vector? ›

A scalar quantity is different from a vector quantity in terms of direction.
...
Difference Between Scalar and Vector
ScalarVector
It has only the magnitudeIt has direction and magnitude
Only one dimensionalIt is multidimensional
This quantity changes with the change in magnitudeThis changes with magnitude and direction
3 more rows
Sep 15, 2020

Can you add a scalar to a cross product? ›

Hence, we cannot cross product a scalar and a vector.

Is the scalar product of two vectors a scalar quantity? ›

The scalar product of two vectors is the sum of the product of the corresponding components of the vectors. In other words, the scalar product is equal to the product of the magnitudes of the two vectors and the cosine of the angle between them. It is a scalar quantity and is also called the dot product of vectors.

Can a component of a vector be added to the same vector? ›

Adding a component of a vector to the same vector is possible because both vectors have the same dimensions.

Can we not multiply a vector quantity by a scalar quantity? ›

Therefore, no matter how hard you try, a scalar can never be multiplied by a vector. Arithmetic multiplication is used to combine the quantities that are similar to one another when vectors and scalars are multiplied together.

Is it possible for a quantity to be neither scalar nor vector? ›

Therefore, those quantities which are neither vector nor scalar are known as tensor quantities.

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