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Worksheets

VECTORS

Total questions: 15

Worksheet time: 14mins

Name
Class
Date
1.

A vector includes ______ and ________.

a)

direction, magnitude

b)

magnitude, units

c)

direction, units

d)

scalars, scalars

2.

A resultant vector is

a)

equal to the sum of one vector.

b)

equal to the sum of two or more vectors.

c)

equal to the difference of one vector.

3.

What is the resultant of these two vectors?

a)

+17 m

b)

+3 m

c)

-17 m

d)

-3 m

4.

When using the head-to-tail method to draw a vector addition diagram, the resultant is drawn from the _____ .

a)

head of the first vector to the tail of the last vector

b)

tail of the first vector to the head of the last vector

c)

head of the last vector to the tail of the first vector

d)

tail of the last vector to the head of the last vector

5.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
6.

What is the magnitude of the resultant vector, r?

a)

3

b)

4

c)

5

d)

7

7.

Which of the following describes the vector above?

a)

45 cm

b)

45 cm at 30 degrees North of East

c)

45 cm at 30 degrees East of North

d)

45 cm North East

8.

Describe the direction of the vector above.

a)

30 degrees

b)

30 degrees North East

c)

30 degrees North of East

d)

30 degrees East of North

9.

Describe the direction of the vector above.

a)

30 degrees

b)

30 degrees North East

c)

30 degrees North of East

d)

30 degrees East of North

10.

If vector A has an y component of 12 units and a x component of 7 units, which would allow you to solve for the MAGNITUDE of vector A?

a)

12272\sqrt{12^2-7^2}

b)

122+72\sqrt{12^2+7^2}

c)

tan1(127)\tan^{-1}\left(\frac{12}{7}\right)

d)

tan1(712)\tan^{-1}\left(\frac{7}{12}\right)

11.

What is the resultant vector of the two labeled vectors?

a)

+2 km

b)

+14 km

c)

-2 km

d)

-14 km

12.

Which one of these shows an example of Head and Tail method?

a)

b)

c)

d)

13.

What vector gives the sum of these two vectors?

a)
b)
c)
d)
e)
14.

Which vector has a greater magnitude?

a)

Left

b)

Right

c)

Neither

15.

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