1. Vector Algebra One Mark Questions PREPARED BY:
R.RAJENDRAN. M.A., M. Sc., M. Ed.,
K.C.SANKARALINGA NADAR HR. SEC. SCHOOL,
CHENNAI-21

2. Choose the Correct Answer
If is a non-zero vector and m is a non-zero scalar then m is a unit vector if (a) m = 1 (b) a = |m| (c) a = 1/|m| (d) a = 1
If and are two unit vectors and  is the angle between them, then is a unit vector if (a) (b) (c) (d)

3. Choose the Correct Answer
If then (a) u is a unit vector (b) (c) (d)
If and include an angle 120 and their magnitude are 2 and 3, then is equal to (a) 3 (b) – 3 (c) 2 (d) – 3/2

4. Choose the Correct Answer
If then the angle between and is (a) /6 (b) 2/3 (c) 5/3 (d) /2
The vectors and are perpendicular when (a) a = 2, b = 3, c = – 4 (b) a = 4, b = 4, c = 5 (c) a = 4, b = 4, c = – 5 (d) a = – 2 , b = 3, c = 4

5. Choose the Correct Answer
The area of the parallelogram having a diagonal and a side is (a) 103 (b) 630 (c) 3/23 (d) 330
If then (a) (b) (c) (d)

6. Choose the Correct Answer
If and are vectors of magnitude then the magnitude of is (a) 2 (b) 3 (c) 2 (d) 1
If then (a) (b) (c) (d)

7. Choose the Correct Answer
If then the area of the quadrilateral PQRS is (a) 53 (b) 103 (c) 53/2 (d) 3/2
If for non-coplanar vectors then (a) (b) (c) (d)

8. Choose the Correct Answer
The projection of on a unit vector equals thrice the area of the parallelogram OPRQ. Then POQ is (a) (b) (c) (d)
If (a) (b) 8 (c) (d) 0

9. Choose the Correct Answer
If the projection of on and projection of on are equal then the angle between is (a) (b) (c) (d)
If (a) (b) 16 (c) (d) – 4

10. Choose the Correct Answer
If a line makes 45°, 60° with positive direction of axes x and y then the angle it makes with the z axis is (a) 30° (b) 90’ (c) 45° (d) 60°
The value of (a) (b) 1 (c) 2 (d) 4

11. Choose the Correct Answer
If are non-coplanar and (a) 2 (b) 3 (c) 1 (d) 0
The shortest distance of the point (2, 10, 1) from the plane (a) 2 (b) 26 (c) 2 (d) 1/26

12. Choose the Correct Answer
The vector (a) (b) (c) (d)

13. Choose the Correct Answer
If are a right handed triad of mutually perpendicular vectors of magnitude a, b, c then the value of (a) a2b2c2 (b) 0 (c) ½ abc (d) abc
is the equation of (a) a straight line joining the points (b) xoy plane (c) yoz plane (d) zox plane

14. Choose the Correct Answer
If the magnitude of moment about the point of a force acting through the point is 8 then the value of a is (a) 1 (b) 2 (c) 3 (d) 4
The work done by the force acting on a particle, if the particle is displaced from A(3, 3, 3), B(4, 4, 4) is (a) 2 units (b) 3units (c) 4units (d) 7units

15. Choose the Correct Answer
The equation of the line parallel to and passing through the point (1, 3, 5) in vector form is (a) (b) (c) (d)

16. Choose the Correct Answer
The equation of the plane passing through the point (2, 1, -1) and the line of intersection of the planes (a) x + 4y – z = 0 (b) x + 9y + 11z = 0 (c) 2x + y – z + 5 = 0 (d) 2x – y + z = 0

17. Choose the Correct Answer
The point of intersection of the line and the plane (a) (8, 6, 22) (b) (– 8, – 6, – 22) (c) (4, 3, 11) (d) (– 4, – 3, – 1)

18. Choose the Correct Answer
If and then a unit vector perpendicular to (a) (b) (c) (d)

19. Choose the Correct Answer
The shortest distance between the lines (a) (b) (c) (d)
The following two lines are (a) parallel (b) intersecting (c) skew (d) perpendicular

20. Choose the Correct Answer
The shortest distance between the parallel lines (a) (b) 2 (c) (d) 0

21. Choose the Correct Answer
The point of intersection of the lines (a) (0, 0, – 4) (b) (1, 0, 0) (c) (0, 2, 0) (d) (1, 2, 0)

22. Choose the Correct Answer
The point of intersection of the lines (a) (2, 1, 1) (b) (1, 2, 1) (c) (1, 1, 2) (d) (1, 1, 1)

23. Choose the Correct Answer
The value of if and is (a) (b) 3 (c) – (d) 14
The value of if and is (a) 2 (b) – 2 (c) (d) 4

24. Choose the Correct Answer
The value of if and is (a) 7 (b) – 7 (c) (d) 6
If and are perpendicular then m is (a) – (b) 8 (c) (d) 12

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