##### Notes

This printable supports Common Core Mathematics Standard HSN-VM.A.1

##### Print Instructions

NOTE: Only your test content will print.
To preview this test, click on the File menu and select Print Preview.

See our guide on How To Change Browser Print Settings to customize headers and footers before printing.

Print Test (Only the test content will print)

## Vector Basics

1.
Which of the following are examples of vectors? Choose all that apply.
1. The velocity of a baseball thrown from fist base to second base.
2. The amount of friction force acting against a pulled sled.
3. The mass of a zebra.
4. The direction of a car heading from San Francisco to Boston.
2.
Which of the following would correctly describe a vector defined by points J and I? Choose all that apply.
1. The line segment $JI$.
2. The line $JI$.
3. The line segment $JI$, starting at point J.
4. The line segment $JI$, heading in a downward-negative direction.
3.
If a given vector, with direction $theta$, is positioned so that its tail is at the origin, how is $theta$ measured with respect to the graph's axis?
1. It is the angle between the vector and the nearest axis.
2. It is the angle between the vector and the nearest x-axis (positive or negative).
3. It is the angle formed from the positive x-axis, going counter clockwise, to the vector.
4. It is the angle formed from the positive x-axis, going clockwise, to the vector.
4.
For vector $vec{v}$, which of the following indicate(s) its magnitude? Choose all correct answers.
1. $|vec{v}|$
2. $vec{V}$
3. $\mathbf{vec{v}}$
4. $||vec{v}||$
5.
What is the direction of the vector $<< -3,5>> ?$
1. 59°
2. 121°
3. 31°
4. 211°
6.
What is the magnitude of the vector $<<3,9>> ?$
1. $12$
2. $6sqrt(2)$
3. $3sqrt(10)$
4. $6$
7.
If point A is $(5,6)$ and point B is $(-2,-3)$, what is the direction of $vec{AB}?$
1. 218°
2. 52°
3. 38°
4. 232°
8.
Vector $vec{np}$ has endpoints n at $(-1,-1)$ and p at $(-5,-3)$. What is the magnitude of this vector?
1. $2sqrt(5)$
2. $5sqrt(2)$
3. $6$
4. $-6$
9.
If $|| vec{AB}|| = 8$, and $|| vec{CB}|| = 8$, are these vectors are considered equal? Why or why not?
1. Yes, since their magnitudes are equal, the vectors are equal.
2. Yes, since they share a point, B.
3. No, because their directions will be different (unless points A and C are coincident).
4. Uncertain, since their directions is unknown.
10.
If point A is at the origin and point B is located at $(4,5)$, are the vectors $vec{AB}$ and $vec{BA}$ equal? Why or why not?
1. Yes, they are formed by the same points.
2. Yes, they have the same magnitude, $sqrt(41)$.
3. No, because vector $vec{BA}$ does not originate at the origin.
4. No, because their directions are different.
You need to be a HelpTeaching.com member to access free printables.