wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

vector

Total questions: 15

Worksheet time: 15mins

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.

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

5.

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

6.

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

a)

v + w = - u

b)

w - u = - v

c)

w - u = v

d)

- u + v = w

7.

Check out all the CORRECT answers.

a)

OB + BC = OC

b)

OA + AC = OC

c)

CB + B0 = -OC

d)

OD = 0.5 (OA + AC)

8.

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.

9.

A vector includes ______ and ________.

a)

direction, magnitude

b)

magnitude, units

c)

direction, units

d)

scalars, scalars

10.

What is the magnitude of the resultant vector, r?

a)

3

b)

4

c)

5

d)

7

11.

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

12.

u + v

a)

4i - j

b)

6i + j

c)

3j + 4j

d)

i + 6j

13.
Given v = 〈3,-5〉 and w = 〈-2,3〉, what is w?
a)
〈6,-10〉
b)
〈1,-2〉
c)
〈0,-1〉
d)
none of these
14.
Find the components of a vector v such that 
v + 
〈-6,4〉 = 〈10,-3〉
a)
〈4,1〉
b)
〈16,4〉
c)
〈16,-7〉
d)
none of these
15.
Find the magnitude of the vector -5i + 12j
a)
13
b)
10.91
c)
7
d)
17