Question 1

Which of the following is a vector quantity?

Accepted Answer

Displacement

Question 2

A car travels 100 meters east, then 100 meters north. What is the magnitude of its displacement?

Accepted Answer

$$\sqrt{100^2$ + 100^2$}\ \mathrm{m}$$

Question 3

Which of the following best describes the difference between speed and velocity?

Accepted Answer

Velocity is a vector, speed is a scalar.

Question 4

Given a vector $$\vec{A}$$ with magnitude $$A$$ and direction $$	heta$$ from the $$x-$$axis, what is the $$y-$$component of $$\vec{A}$$?

Accepted Answer

$$A \sin 	heta$$

Question 5

Which of the following quantities can be negative?

Accepted Answer

The component of a vector

Question 6

A vector $$\vec{B}$$ has components $$B_x = -3$$ and $$B_y = 4. $$What is the magnitude of $$\vec{B}$$?

Accepted Answer

$$5$$

Question 7

Which of the following is NOT a scalar quantity?

Accepted Answer

Momentum

Question 8

A vector has a magnitude of $$10$$ units and points at $$30^\circ$$ above the positive $$x-$$axis. What is its $$x-$$component?

Accepted Answer

$$10 \cos 30^\circ$$

Question 9

Which of the following statements is TRUE about vector notation?

Accepted Answer

A vector can be moved anywhere in space as long as its magnitude and direction are unchanged.

Question 10

If a vector $$\vec{C}$$ has components $$C_x = 0$$ and $$C_y = -5$$, what is its trigonometric direction?

Accepted Answer

$$270^\circ$$

Question 11

A vector $$\vec{D}$$ has a magnitude of $$8$$ and points $$120^\circ$$ from the positive $$x-$$axis. What is the $$y-$$component of $$\vec{D}$$?

Accepted Answer

$$8 \sin 120^\circ$$

Question 12

Which of the following is the correct unit-vector notation for a vector with $$x-$$component $$3$$ and $$y-$$component $$4$$?

Accepted Answer

$$3 \hat{i} + 4 \hat{j}$$

Question 13

A vector has components $$A_x = -6$$ and $$A_y = -8. $$What is the magnitude of the vector?

Accepted Answer

$$10$$

Question 14

Which of the following is a correct statement about the direction of a vector in trigonometric notation?

Accepted Answer

It is always measured counterclockwise from the positive $$x-$$axis.

Question 15

A vector $$\vec{E}$$ has a magnitude of $$5$$ and points $$225^\circ$$ from the positive $$x-$$axis. What are the signs of its $$x$$ and $$y$$ components?

Accepted Answer

$$x$$ negative, $$y$$ negative

Question 16

Which of the following is a scalar quantity?

Accepted Answer

Power

Question 17

A vector $$\vec{F}$$ has components $$F_x = 5$$ and $$F_y = 5. $$What is the direction of $$\vec{F} in $$degrees from the positive $$x-$$axis?

Accepted Answer

$$45^\circ$$

Question 18

Which of the following is the correct formula to convert vector components to magnitude?

Accepted Answer

$$A = \sqrt{A_x^2$ + A_y^2$}$$

Question 19

A vector $$\vec{G}$$ has a magnitude of $$12$$ and points $$270^\circ$$ from the positive $$x-$$axis. What is its $$y-$$component?

Accepted Answer

$$-12$$

Question 20

Which of the following is true about the magnitude of a vector?

Accepted Answer

It is always positive.

Vectors vs. Scalars and Vector Components: Study Guidance

Study Guide - Practice Questions

Study Guide - Flashcards