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From Vector Given Magnitude and Direction

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Vector is a quantity with:

a)

magnitude and direction

b)

magnitude

c)

direction

d)

none of the above

2.
a)

a is the position vector of point A

b)

b is the direction vector of line L

c)

r is the position vector of all points in L, represented by P(x,y)

3.
a)

OB + BC = OC

b)

OA + AC = OC

c)

CB + B0 = -OC

d)

OD = 0.5(OA + AC)

4.

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

a)

36

b)

49

c)

7

d)

6

5.

Determine the direction and magnitude of the vector 〈7,18〉

a)

Direction 21.3°
Magnitude 19.3

b)

Direction 68.7°
Magnitude 19.3

c)

Direction 21.3°
Magnitude 373

d)

Direction 68.7°
Magnitude 373

6.

A vector is a ray with both ____________ and _____________.

a)

Wings and halos

b)

Space and time

c)

Direction and magnitude

d)

Radicals and exponents

7.

Find the magnitude and direction angle of 6a+4b-6a+4b if a=<14,2>a=<-14,-2>   and 6a+4b-6a+4b .

a)

143.22; 217.91°143.22;\ 217.91\degree

b)

67.12, 33.45°67.12,\ 33.45\degree

c)

215.41; 285.07°215.41;\ 285.07\degree

d)

129.12; 16.19°129.12;\ 16.19\degree

8.

The picture shows the flight vector for a helicopter. What is the magnitude and direction of the vector?

a)

38.6 mi; 31.2o east of north

b)

26.2 mi; 31.2o north of east

c)

38.6 mi; 31.2o north of east

d)

26.2 mi; 58.8o north of east

9.

Write the vector from A to B...

a)

r

b)

-r

c)

s

d)

-s

10.

A vector is having------

a)

magnitude only

b)

direction only

c)

both magnitude and direction

d)

none

11.

Determine the direction and magnitude of the vector 〈-11,5〉

a)

Direction 24.4°
Vertical 12.1

b)

Direction65.6°
Magnitude 12.1

c)

Direction -24.4°
Magnitude 12.1

d)

Direction 155.6°
Magnitude 12.1

12.

Write the vector from C to B...

a)

y

b)

-y

c)

z

d)

-z

13.

Write the vector from A to B...

a)

a

b)

-a

c)

b

d)

-b

14.

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)

It has constant magnitude but no
 direction

15.

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

a)

77N

b)

92N

c)

120N

d)

60N

16.

Find the magnitude.

a)

0

b)

5

c)

-5

d)

4

17.

Find the magnitude.

a)

5

b)

3

c)

25

d)

-4

18.

Find the magnitude.

a)

-10

b)

-8

c)

6

d)

10

19.

What is the net force?

a)

17 N Right

b)

3 N Right

c)

3 N Left

d)

17 N Left

20.

In a tug of war the left team pulls with a force of 200N. The right team pulls with a force of 150N.What is the resultant force?

a)

50N to the left.

b)

350N to the left.

c)

350N to the right.

d)

50N to the right.