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Vector Algebra One Mark Questions. Choose the Correct Answer 1. If is a non-zero vector and m is a non-zero scalar then m is a unit vector if (a) m =

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Presentation on theme: "Vector Algebra One Mark Questions. Choose the Correct Answer 1. If is a non-zero vector and m is a non-zero scalar then m is a unit vector if (a) m ="— Presentation transcript:

1 Vector Algebra One Mark Questions

2 Choose the Correct Answer 1. 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 2. 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 3. If then (a) u is a unit vector(b) (c) (d) 4. 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 5. If then the angle between and is (a)  /6(b) 2  /3 (c) 5  /3(d)  /2 6. 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 7. The area of the parallelogram having a diagonal and a side is (a) 10  3(b) 6  30 (c) 3/2  3(d) 3  If then (a) (b) (c) (d)

6 Choose the Correct Answer 9. If and are vectors of magnitude then the magnitude of is (a) 2 (b)  3 (c)  2 (d) If then (a) (b) (c) (d)

7 Choose the Correct Answer 11. If then the area of the quadrilateral PQRS is (a) 5  3(b) 10  3 (c) 5  3/2(d) 3/2 12. If for non-coplanar vectors then (a) (b) (c) (d)

8 Choose the Correct Answer 13. The projection of on a unit vector equals thrice the area of the parallelogram OPRQ. Then  POQ is (a) (b) (c) (d) 14. If (a) 32 (b) 8 (c) 128(d) 0

9 Choose the Correct Answer 15. If the projection of on and projection of on are equal then the angle between is (a) (b) (c) (d) 16. If (a) 4 (b) 16 (c) 32(d) – 4

10 Choose the Correct Answer 17. 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° 18. The value of (a) 0 (b) 1 (c) 2(d) 4

11 Choose the Correct Answer 19. If are non-coplanar and (a) 2(b) 3 (c) 1(d) The shortest distance of the point (2, 10, 1) from the plane (a) 2  26 (b)  26 (c) 2(d) 1/  26

12 Choose the Correct Answer 21. The vector (a) (b) (c) (d)

13 Choose the Correct Answer 22. If are a right handed triad of mutually perpendicular vectors of magnitude a, b, c then the value of (a) a 2 b 2 c 2 (b) 0 (c) ½ abc(d) abc 23. 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 24. 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) 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 26. 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 27. 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 27. 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 28. If and then a unit vector perpendicular to (a) (b) (c) (d)

19 Choose the Correct Answer 29. The shortest distance between the lines (a) (b) (c) (d) 30. The following two lines are (a) parallel(b) intersecting (c) skew(d) perpendicular

20 Choose the Correct Answer 31. The shortest distance between the parallel lines (a) 3 (b) 2 (c) 1 (d) 0

21 Choose the Correct Answer 32. 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 33. 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 1. The value of if and is (a) 19(b) 3 (c) – 19 (d) The value of if and is (a) 2(b) – 2 (c) 3 (d) 4

24 Choose the Correct Answer 1. The value of if and is (a) 7(b) – 7 (c) 5 (d) 6 2. If and are perpendicular then m is (a) – 4 (b) 8 (c) 4 (d) 12

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