Free Printable Vectors

1.

If\ \overrightarrow{P\ }\cdot\overrightarrow{Q\ }=\ \left|\overrightarrow{P}\times\overrightarrow{Q}\right|

, the angle between

\overrightarrow{P\ }\ and\ \ \overrightarrow{Q}

is

a)

0

b)

$\frac{\pi}{2}$

c)

$\frac{\pi}{4}$

d)

$\pi$

2.

A person walks first 10 km north and 20 km east, then the resultant vector is

a)

22.36km

b)

22.46 km

c)

22.36

d)

20.36 km

3.

A vector A of magnitude $5\ \sqrt{3}$ units , another vector B of magnitude 10 units are inclined at an angle of $30\degree$ . The magnitude of vector product of the two vectors is

a)

$5\sqrt{3}\ units$

b)

10 units

c)

$25\ \sqrt{3}\ units$

d)

75 units

4.

$At$ what angle do the two forces $\overrightarrow{A}\ +\ \overrightarrow{B}\ and\ \overrightarrow{A}\ -\ \overrightarrow{B}$ act so that their resultant is $\sqrt{3\ A^2+B^2}$ ?

(a)

5.

A velocity of 20 m/s has its X-component 12m/s. What is its y- component?

(a)

6.

What is the angle between $\left(\overrightarrow{A}\ +\overrightarrow{B}\right)\ and\ \overrightarrow{A}\ \times\ \overrightarrow{B\ }\$ ?

(a)

7.

Commutative law is obeyed by

a)

Scalar Product of vectors

b)

Vector Product of vectors

c)

Both of them

d)

none of them

8.

2 forces: 32N and 45 N with angle between of 35 deg. Determine the magnitude of the resultant.

a)

5408.2

b)

26.3

c)

689.8

d)

73.5

9.

Write the vector from A to D...

a)

a + b

b)

-a + b

c)

b - a

d)

a - b

10.

Write the vector from A to D...

a)

x + y + z

b)

x - y + z

c)

-x + y + z

d)

x - y - z

11.

In practice A of the figure, What is the magnitude of the resultant displacement?

a)

5 km

b)

8 km

c)

11 km

d)

15 km

12.

In practice A of the figure, what is the direction of the resultant displacement?

a)

63 degrees, South of East

b)

63 degrees, North of West

c)

27 degrees, North of West

d)

27 degrees, South of West

13.

If a boomerang is thrown 20 m in a straight line and returns exactly to the spot it was thrown what is its displacement?

a)

20m

b)

40m

c)

0m

d)

-20m

14.

What is the net force?
100 N 230 N
<------ --------->

a)

30 N to the right

b)

230 N to the right

c)

130 N to the right

d)

This is a balanced force

15.

What is the y component of the vector given in the diagram?

a)

77N

b)

92N

c)

120N

d)

60N

16.

Given the vector v = 3i -2j +6 k, the magnitude of v is:

a)

36

b)

49

c)

7

d)

6

17.

The scalar product of u and v is zero, therefore...

a)

vectors u and v are parallel

b)

vectors u and v are perpendicular

c)

vectors u and v are equal

d)

vectors u and v are multiples

18.

What is the direction of the displacement?

a)

53 degrees east of north

b)

37 degrees east of north

c)

37 degrees north of east

d)

53 degrees directly northeast

19.

Max football team. During one play he back-pedaled in the southern direction 2.6 meters. Then shuffled west for 2.2 meters. Finally, he ran downfield 4.8 meters 30° W of S. Determine the resultant magnitude of displacement.

a)

8.2 m

b)

9.6 m

c)

10.8 m

d)

8.9 m

20.

What is the magnitude of cross product ?

a)

AB Sin@

b)

AB Cos @

c)

AB Tan @

d)

AB ( Sin@ + COs @)

21.

What is the direction of vector product of vectors A and B?

a)

Parallel to both vectors A and B

b)

Parallel to vector A and Perpendicular to vector B.

c)

Perpendicular to both vectors A and B

d)

Depends as per question.

22.

The adjacent sides of a parallelogram are represented by the vectors $\overrightarrow{A}\ =\ 3\ i\ -2j\ and\ \overrightarrow{B}\ =2i\ +\ 3j\ +5k$ Find the area of the parallelogram.

(a)

Vectors

Total questions: 22

Worksheet time: 47mins

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