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Vector Sums and Trig functions

Total questions: 15

Worksheet time: 17mins

Name
Class
Date
1.

What is the resultant vector of the two labeled vectors?

a)

+2 km

b)

+14 km

c)

-2 km

d)

-14 km

2.

What is the magnitude of the resultant vector, r?

a)

3

b)

4

c)

5

d)

7

3.

Which vector equation matches the vector operation shown in the diagram below?

a)

u-v=w

b)

u-v=-w

c)

u+v=w

d)

v+u=-w

4.

Which vector equation matches the vector operation shown in the diagram below?

a)

u+v=w

b)

w+u=v

c)

v+w=-u

d)

w+u=-v

5.
Is this a scalar quantity or a vector quantity?
Wind blowing at 20 knots
a)
Scalar
b)
Vector
6.
What is the y component of the vector given in the diagram?
a)

77N

b)

92N

c)

120N

d)

60N

7.
What is the x component of the vector given in the diagram?
a)

77N

b)

92N

c)

120N

d)

60N

8.
a)

17

b)

149

c)

3

d)

12.2

9.

Adding which two vectors would give a resultant of zero magnitude?

a)

A + B

b)

A + E

c)

B + E

d)

C + F

e)

A + D

10.
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
11.

Write the vector from C to A...

a)

a

b)

-a

c)

b

d)

-b

12.

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

13.

Bob walks 2 miles north and turns west and walks 2 miles. What is Bob's general displacement?

a)

4 miles northeast

b)

4 miles northeast

c)

3 miles northwest

d)

3 miles southeast

14.
A hiker walks 5 kilometers due north and then 7 kilometers due east. What is the magnitude of the resultant vector?
a)
2 km
b)
8.6 km
c)
12 km
d)
12.6 km
15.

If vector A has an x component of 12 units and a y component of 7 units, what is the magnitude of vector A?

a)

19 units

b)

13 units

c)

14 units

d)

193 units