Free Printable Vectors CYU

1.

Vector is a quantity with:

a)

magnitude and direction

b)

magnitude

c)

direction

d)

none of the above

2.

Given that the vector $\overrightarrow{OA}\ =\ \left(_{-3}^{\ \ 4}\right)$ , the magnitude of $\left|3\ \overrightarrow{OA}\right|$ is

(a)

3.

Suppose 2 vectors, $\text{a}$ and $k\text{ a}$ , where $k$ is a constant. If the vectors are in opposite direction but of equal magnitude, what can you conclude about the value of $k$ ?

a)

$k=1$

b)

$k>0\ \ \text{and}\ \ k\ne1$

c)

$k<0\ \text{ and }\ k\ne1$

d)

$k=-1$

4.

Which of the following vectors are parallel to $\left(_{\ 3\ }^{\ 2}\right)$ ? Choose the answers that apply.

a)

$\left(_{\ 4\ }^{\ 3}\right)$

b)

$\left(_{\ 6\ }^{\ 4}\right)$

c)

$\left(_{\ 1\ }^{\ 1}\right)$

d)

$\left(_{\ -1.5\ }^{\ \ \ -1}\right)$

5.

Each point in an octagon is labelled clockwise in the following order: A, B, C, D, E, F, G, H. Each side of the octagon is 1 unit long. Find the magnitude of:
$\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{CD}+\overrightarrow{DE}\$

$+\ \overrightarrow{EF}+\overrightarrow{FG}+\overrightarrow{GH}+\overrightarrow{HA}$

a)

8 units

b)

0 units

c)

The answer does not exist.

6.

If a duck waddles from coordinate P = (-3, 2) to

Q = (6,5), then a vector that models the duck's motion is

a)

〈-3,7〉

b)

〈-9,3〉

c)

〈9,-3〉

d)

〈9,3〉

7.

ABC is a triangle such that $\overrightarrow{AB}\ =\ \left(_{-1}^{\ \ 5}\right)$ and $\overrightarrow{AC}\ =\ \left(_{\ 8}^{-1}\right)$ . Calculate the length of BC.

(a)

8.

Given that $\overrightarrow{PQ}\ =\ \left(_{3a}^{\ a}\right)$ and $\left|PQ\right|=\frac{5\sqrt{10}}{2}$ , state the sum of the possible values of $a$ .

(a)

9.

Given the coordinates of $A=\left(-5,1\right)$ and $B=\left(43,\ 38\right)$ , find $\overrightarrow{AB}$ .

a)

$\left(_{37}^{48}\right)$

b)

$\left(_{39}^{38}\right)$

c)

$\left(_{-37}^{-48}\right)$

d)

$\left(_{\ \ 39}^{-38}\right)$

10.

A is translated to B (5,-2) by $\left(_{\ 7}^{-3}\right)$ . Find the sum of the x- and y- coordinates of A.

(a)

Vectors CYU

Total questions: 10

Worksheet time: 50mins

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