1. Q1.1
What are the x– and y–components of the vector E?
1. Ex = E cos b, Ey = E sin b
2. Ex = E sin b, Ey = E cos b
3. Ex = –E cos b, Ey = –E sin b
4. Ex = –E sin b, Ey = –E cos b
5. Ex = –E cos b, Ey = E sin b

2. A1.1
What are the x– and y–components of the vector E?
1. Ex = E cos b, Ey = E sin b
2. Ex = E sin b, Ey = E cos b
3. Ex = –E cos b, Ey = –E sin b
4. Ex = –E sin b, Ey = –E cos b
5. Ex = –E cos b, Ey = E sin b

3. Q1.2
Consider the two vectors shown. The vector A + B has
1. a positive x–component and a positive y–component
2. a positive x–component and a negative y–component
3. a negative x–component and a positive y–component
4. a negative x–component and a negative y–component
5. a zero x–component and a negative y–component

4. A1.2
Consider the two vectors shown. The vector A + B has
1. a positive x–component and a positive y–component
2. a positive x–component and a negative y–component
3. a negative x–component and a positive y–component
4. a negative x–component and a negative y–component
5. a zero x–component and a negative y–component

5. Q1.3
Consider the two vectors shown. The vector A – B has
1. a positive x–component and a positive y–component
2. a positive x–component and a negative y–component
3. a negative x–component and a positive y–component
4. a negative x–component and a negative y–component
5. a zero x–component and a negative y–component

6. A1.3
Consider the two vectors shown. The vector A – B has
1. a positive x–component and a positive y–component
2. a positive x–component and a negative y–component
3. a negative x–component and a positive y–component
4. a negative x–component and a negative y–component
5. a zero x–component and a negative y–component

7. Q1.4
Which of the following statements about the sum of two vectors, A + B, is correct for any two vectors A and B ?
1. the magnitude of A + B is A + B
2. the magnitude of A + B is A – B
3. the magnitude of A + B is greater than or equal to |A – B|
4. the magnitude of A + B is greater than the magnitude of A – B
5. the magnitude of A + B is (A2 + B2)1/2

8. A1.4
Which of the following statements about the sum of two vectors, A + B, is correct for any two vectors A and B ?
1. the magnitude of A + B is A + B
2. the magnitude of A + B is A – B
3. the magnitude of A + B is greater than or equal to |A – B|
4. the magnitude of A + B is greater than the magnitude of A – B
5. the magnitude of A + B is (A2 + B2)1/2

9. Q1.5
Which of the following statements about the difference of two vectors, A – B, is correct for any two vectors A and B ?
1. the magnitude of A – B is A – B
2. the magnitude of A – B is A + B
3. the magnitude of A – B is greater than or equal to |A – B|
4. the magnitude of A – B is less than the magnitude of A + B
5. the magnitude of A – B is (A2 + B2)1/2

10. A1.5
Which of the following statements about the difference of two vectors, A – B, is correct for any two vectors A and B ?
1. the magnitude of A – B is A – B
2. the magnitude of A – B is A + B
3. the magnitude of A – B is greater than or equal to |A – B|
4. the magnitude of A – B is less than the magnitude of A + B
5. the magnitude of A – B is (A2 + B2)1/2

11. Q1.6
Consider the vectors A and B as shown.
The components of the vector C = A + B are
1. Cx = –24 m, Cy = +12 m
2. Cx = +24 m, Cy = +12 m
3. Cx = –24 m, Cy = +52 m
4. Cx = +24 m, Cy = +52 m
5. Cx = +24 m, Cy = –52 m

12. A1.6
Consider the vectors A and B as shown.
The components of the vector C = A + B are
1. Cx = –24 m, Cy = +12 m
2. Cx = +24 m, Cy = +12 m
3. Cx = –24 m, Cy = +52 m
4. Cx = +24 m, Cy = +52 m
5. Cx = +24 m, Cy = –52 m

13. Q1.7
What is A • B, the scalar product (also called dot product) of these two vectors? m2
2. –640 m2 m2
4. –480 m2
5. zero

14. A1.7
What is A • B, the scalar product (also called dot product) of these two vectors? m2
2. –640 m2 m2
4. –480 m2
5. zero

15. Q1.8
What are the magnitude and direction of A ´B, the vector product (also called cross product) of these two vectors?
m2 , positive z–direction
m2 , negative z–direction
m2 , positive z–direction
m2 , negative z–direction
5. zero, hence no direction

16. A1.8
What are the magnitude and direction of A ´B, the vector product (also called cross product) of these two vectors?
m2 , positive z–direction
m2 , negative z–direction
m2 , positive z–direction
m2 , negative z–direction
5. zero, hence no direction