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Worksheets

Vector

Total questions: 10

Worksheet time: 22mins

Name
Class
Date
1.

Vector is a quantity with:

a)

magnitude and direction

b)

magnitude

c)

direction

d)

none of the above

2.

Vectors are equivalent if they have the same magnitude and direction. Which are equivalent vectors?

a)

u and -u

b)

u and a

c)

u and v

d)

u and b

3.

In the diagram ABCDEF is a regular hexagon with centre O.  OA=a and AB =b\overrightarrow{OA}=a\ and\ \overrightarrow{AB}\ =b

Find expressions, in terms of  a and b, for:

CA\overrightarrow{CA}  

a)

a - b

b)

b - a

c)

-a - b

d)

2a

4.

Find the vector of AB with initial point A(0, 8) and terminal point B(-9, -3)

a)

-9i + 5j

b)

-9i - 11j

c)

-9i+11j

d)

-9i-5j

5.

If y = 2i and z = -i - 4j, find 3y - 2z.

a)

5i - 8j

b)

4i + 8j

c)

8i + 8j

d)

-8i - 8j

6.

Find the magnitude of AB if the vector A = 5i + 3j and B = 3i + 9j.

a)

40

b)

5.66

c)

6.32

d)

32

7.
Find the magnitude of the vector -5i + 12j
a)
13
b)
10.91
c)
7
d)
17
8.
Find the dot product of <1, -2> and <3, 2>.
a)
1
b)
<3, -4>
c)
<4, 0>
d)
-1
9.
Find the angle between vectors <1,3> and <2,-5>.
a)
40.24°
b)
49.76°
c)
139.76°
d)
92.57°
10.

u*v

a)

-82

b)

-58

c)

82

d)

58