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Vector

Total questions: 10

Worksheet time: 24mins

Name
Class
Date
1.

Vectors a, b, c are defined as:

a = 2i + 5j; b = i - 3j; c = -3i - j. Answer all correct answers

a)

a + b = 3i + 8j

b)

a - b = i + 8j

c)

a + c = -i + 4j

d)

c - b = -5i + 6j

2.

Vector a = 2i + 3j - 5k. What is the value of 3a?

a)

3i + 3j - 3k

b)

5i + 6j - 8k

c)

6i + 9j -15k

d)

6i + 6j - 15k

3.

Given the line L: r = a + tb, where a = i+2j+3k and b= 2i -3j + k

a)

a line with direction vector 2i +4j + 6k is parallel to L

b)

a line with direction vector 4i -6j + 2k is parallel to L

c)

a line with direction vector 3i - j + 7k is parallel to L

4.

A ferry departs from A(-25, 28). It takes 3 hours to reach its destination B(20, -32), travelling in as straight line with constant velocity. Distances are in km. Find the distance that the ferry travels.

a)

50 km

b)

55 km

c)

70 km

d)

75 km

5.

A ferry departs from A(-25, 28). It takes 3 hours to reach its destination B(20, -32), travelling in as straight line with constant velocity. Distances are in km. Find the velocity vector of the ferry.

a)

15i + 20j

b)

15i - 20j

c)

20i + 15j

d)

20i - 15j

6.
A car travels 90 meters due north in 15 seconds. Then the car turns around and travels 40 meters due south.  What is the magnitude and direction  of the car's resultant displacement?  
a)
40 metres, South
b)
50 metres, South
c)
50 metres, North
d)
40 metres, North 
7.

Vector A (15 m, 90O), Vector B (9.0 m, 0O), and Vector C (11 m, 300O) combine to form Vector R. Which of the following describe Vector R?

a)

15 m, 69O

b)

15 m, 21O

c)

16 m, 69O

d)

16 m, 21O

8.

A = 5i + 7j , B = -6i + 2j maka

B - A = ...

a)

-i + 9j

b)

11i + 5j

c)

-11i - 5j

d)

5i + 11j

9.
Find the direction and magnitude of the resultant vector for the drawing of two forces.
a)
Direction 90°
Magnitude 139.0N
b)
Direction 52.3°
Magnitude 195N
c)
Direction 52.3°
Magnitude 139.0N
d)
Direction 37.7°
Magnitude 139.0N
10.
Find the direction and magnitude of the resultant vector for the drawing of two forces.
a)
Direction 75.0°
Magnitude 221.8mph
b)
Direction 41.9°
Magnitude 233.3mph
c)
Direction 48.1°
Magnitude 233.3mph
d)
Direction 57.2°
Magnitude 238.6mph