1. Chapter 3 Vectors Questions 3-1 Vectors and Scalars
3-2 Adding Vectors Geometrically
3-3 Components of Vectors
3-4 Adding Vectors by Components
3-5 Vectors and the Laws of Physics
3-6 Multiplying Vectors

2. The angle between A = 3.00 i + 4.00 j and the negative y-axis is:
3-3 Components of Vectors
M1-062
The angle between A = 3.00 i j and the negative y-axis is:
A) 209°
B) 61.0°
C) 29.0°
D) 143°
E) 241°
Answer D

3. 3-3 Components of Vectors
A vector in the xy plane has a magnitude of 25 m and an x component of +12 m and a positive y component. The angle it makes with the positive y axis is:
A) 26°
B) 29°
C) 61°
D) 64°
E) 241°
Answer B

4. 3-3 Components of Vectors
Two vectors A and B have magnitudes of 10 m and 15 m respectively. The angle between them is 65°. The component (projection) of B along A is:
A) 0
B) 4.2 m
C) 6.3 m
D) 9.1 m
E) 7.5 m
Answer C

5. If A = i + j and B = i - j then:
3-3 Components of Vectors
M1-052
If A = i + j and B = i - j then:
A) A and B must be parallel and in the same direction
B) A and B must be parallel and in opposite directions
C) magnitude of A is not the same as magnitude of B
D) the angle between A and B must be 60°
E) the angle between A and B must be 90°
Answer E

6. 3-3 Components of Vectors
In Fig 1, A = (12 m,60°) and B = (8 m,300°). The x component of (A - B) is:
A) 8 m
B) 10 m
C) 2 m
D) 14 m
E) 15 m
Answer C

7. 3-3 Components of Vectors
Answer A

8. D) 15.6 km in the direction 45° West of North
3-3 Components of Vectors
M1-051
A man walks 4.65 km West, then 12.7 km in the direction 30° West of North and finally 11.0 km due East. The man is now at
A) 12.7 km due West
B) 11.0 km due North
C) 4.65 km due South
D) 15.6 km in the direction 45° West of North
E) back to where he started
Answer B

9. 3-3 Components of Vectors
Answer A

10. 3-4 Adding Vectors by Components
A and B are two perpendicular vectors: A = 3.0 i and B= 2.0 j. The magnitude of A-2B is:
A) 1.0.
B) 5.0.
C) 7.0.
D) − 1.0.
E) − 2.0.
Answer B

11. 3-4 Adding Vectors by Components
Answer A

12. 3-6 Multiplying Vectors
M1-062
Three vectors are given as: A = -30i, B = -5.0k and C = 2.0j. The value of A•(B x C) is:
A) -30
B) 0
C) 30 k
D) - 30 j
E) 10
Answer A

13. 3-6 Multiplying Vectors
M1-052
Answer E