Question 1

Which of the following is a vector quantity?

Accepted Answer

Displacement

Question 2

A vector $$\vec{A}$$ has components $$A_x = -25\ \mathrm{m}$$ and $$A_y = +40\ \mathrm{m}. $$What is the magnitude of $$\vec{A}$$?

Accepted Answer

$$47.2\ \mathrm{m}$$

Question 3

Which equation correctly represents the analytical addition of two vectors $$\vec{a}$$ and $$\vec{b} to $$get $$\vec{c}$$?

Accepted Answer

$$a_x + b_x = c_x$$ and $$a_y + b_y = c_y$$

Question 4

A displacement vector $$\vec{d} in $$the $$xy$$ plane is $$15\ \mathrm{m}$$ long and directed $$250^\circ$$ clockwise from the $$+y$$ axis. What is the $$x-$$component $$d_x$$?

Accepted Answer

$$-14.1\ \mathrm{m}$$

Question 5

Which of the following best describes a scalar quantity?

Accepted Answer

It has only magnitude.

Question 6

Guangdang needs to travel $$1.2\ \mathrm{m}$$ northeast to find her sweater. After walking $$0.6\ \mathrm{m}$$ east, what is the remaining distance and direction she must walk?

Accepted Answer

$$0.88\ \mathrm{m}$$, $$73.7^\circ N of E$$

Question 7

If two vectors $$\vec{a}$$ and $$\vec{b}$$ have equal magnitudes of $$10.0\ \mathrm{m}$$ and are at angles $$\$$theta_1$$ = 30^\circ$$ and $$\$$theta_2$$ = 105^\circ$$ from the $$+x$$ axis, what is the magnitude of their sum $$\vec{c} = \vec{a} + \vec{b}$$?

Accepted Answer

$$12.2\ \mathrm{m}$$

Question 8

Which of the following is NOT a correct step in resolving a vector into its components?

Accepted Answer

Add the magnitudes of the components to get the original vector's magnitude.

Question 9

A vector $$\vec{A}$$ has $$A_x = -25\ \mathrm{m}$$ and $$A_y = +40\ \mathrm{m}. $$What is the direction of $$\vec{A}$$ measured counterclockwise from the $$+x$$ axis?

Accepted Answer

$$122^\circ$$

Question 10

Which of the following is a correct statement about vector subtraction?

Accepted Answer

Subtract each component individually: $$-\vec{b} = -b_x, -b_y.$$

Question 11

When adding two vectors graphically, what is the correct method?

Accepted Answer

Place them tip-to-tail and draw the resultant from the tail of the first to the tip of the second.

Question 12

Which of the following is a correct definition of a unit?

Accepted Answer

A standard way to measure a physical quantity.

Question 13

If a vector $$\vec{v}$$ has components $$v_x = 6\ \mathrm{m/s}$$ and $$v_y = 8\ \mathrm{m/s}$$, what is its magnitude?

Accepted Answer

$$10\ \mathrm{m/s}$$

Question 14

Which of the following is a reason why vectors are needed in physics?

Accepted Answer

Because many physical quantities have both magnitude and direction.

Question 15

A vector $$\vec{A}$$ makes an angle $$	heta$$ with the $$+x$$ axis. Which formula gives the $$y-$$component $$A_y$$?

Accepted Answer

$$A_y = |A| \sin 	heta$$

Question 16

Which of the following is the correct way to keep track of significant figures in calculations?

Accepted Answer

Keep one more digit in your calculations than you will need for your answer.

Question 17

A vector $$\vec{d} in $$the $$xy$$ plane has $$d_x = -14.1\ \mathrm{m}$$ and $$d_y = -5.13\ \mathrm{m}. $$What is the magnitude of $$\vec{d}$$?

Accepted Answer

$$15\ \mathrm{m}$$

Question 18

Which of the following is NOT a vector quantity?

Accepted Answer

Distance

Question 19

If a vector $$\vec{A}$$ has a magnitude $$|A|$$ and makes an angle $$	heta$$ with the $$+x$$ axis, what is the $$x-$$component $$A_x$$?

Accepted Answer

$$A_x = |A| \cos 	heta$$

Chapter 1: Models, Measurements & Vectors – Study Notes

Study Guide - Practice Questions

Study Guide - Flashcards