Free Printable Vectors

1.

Find the magnitude of this vector (each square is 1 unit long)

(Hint - Use Pythagoras)

a)

4

b)

5

c)

3

d)

square root of 5

2.

If a car moves 12 miles North, 19 miles East, and 12 miles South, what is its displacement?

a)

12 miles

b)

19 miles, East

c)

31 miles

d)

43 miles, East

3.

Write the vector from A to B...

a)

a

b)

-a

c)

b

d)

-b

4.

Write the vector from C to A...

a)

a

b)

-a

c)

b

d)

-b

5.

Write the vector from B to D...

a)

a

b)

-a

c)

b

d)

-b

6.

Write the vector from A to D...

a)

a + b

b)

-a + b

c)

b - a

d)

a - b

7.

Write the vector from A to E...

a)

y + z

b)

x + z

c)

-x + y

d)

y - x

8.

Which statement describes a vector?

a)

It has magnitude but no direction

b)

It has direction but no magnitude

c)

It has both direction and magnitude

d)

is it me, or are these all the same?

9.

What is the sum of a vector addition problem called?

a)

components

b)

scalar

c)

resultant

d)

magnitude

10.

Which statements are true?

a)

$\overrightarrow{OM}\ =\overrightarrow{OB}\ +\ \frac{1}{2}\overrightarrow{AB}$

b)

$\overrightarrow{OM}\ =\overrightarrow{OB}\ +\ \frac{1}{2}\overrightarrow{BA}$

c)

$\overrightarrow{OM}\ =\overrightarrow{OA}\ +\ \frac{1}{2}\overrightarrow{AB}$

d)

$\overrightarrow{OM}\ =\overrightarrow{OA}\ +\ \frac{1}{2}\overrightarrow{BA}$

11.

Which statement is true?

a)

$\overrightarrow{OM}\ =\ 2.5a\ +\ 1.5b$

b)

$\overrightarrow{OM}\ =\ 2.5a\ +\ 4.5b$

c)

$\overrightarrow{OM}\ =\ 2.5b\ +\ 1.5a$

d)

$\overrightarrow{OM}\ =\ 2.5a\ -\ 1.5b$

12.

Which vectors are parallel with 2s + t?

a)

2s + 2t

b)

4s + 2t

c)

3s + 2t

d)

0.5t + s

e)

-2s - t

Vectors

Total questions: 12

Worksheet time: 24mins

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