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

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## 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.