1. Vectors

2. Find the scalar product of the vectors and.

3. Which of the following is equal to? 1. 2. 3. None of these 4.

4. Find the value of if the vectors and are perpendicular.

5. Find the angle between the vectors and.

6. If, what is the magnitude of ?

7. Two forces act upon an object. The first has magnitude 3 N in an easterly direction and the second has magnitude 4 N in a southerly direction. What is the direction of the resultant force?

8. is the point (4,-2). Find.

9. is the point (3,2,-6). Find.

10. What is the length of the vector ? 1. 2. 3. 4.

11. If two vectors are perpendicular then. 1.True 2.False 3.Don’t know

12. Does ? 1.Yes 2.No

13. Find if and.

14. Enter the second component of if and.

15. Find the area of a triangle with vertices at, and.

16. What is the value of x? θ 1.x= y cosθ 2.x= z sinθ 3.x= y sinθ 4.x= z cosθ

17. A javelin is released with initial velocity V o =13 m/s at an angle of 38° to the horizontal. What is the vertical component of the initial velocity?

18. If and,what is ? 1. 2. 3. 4.

19. Which vectors must always start at the origin? 1.Unit vectors 2.Position vectors 3.Column vectors 4.None of these

20. What is the position vector of the point with coordinates ? 1. 2. 3. 4.

21. is the point (3,-1). Find the unit vector in the direction. 1. 2. 3. 4.

22. What is meant by the symbol ? 1.It is the unit vector in the positive x-direction 2.It is the unit vector in the positive y-direction 3.It is a vector in the positive x-direction 4.It is a vector in the positive y-direction

23. Consider the point P(3,2). What is the direction ratio of the vector ?

24. P and Q have coordinates (-5,-1) and (1,2) respectively. Find the direction cosines of. 1. 2. 3. 4.

25. Find for the two points and. 1. 2. 3. 4.