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Vector Algebra One Mark Questions

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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)

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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

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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

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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 30 8. If then (a) (b) (c) (d)

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Choose the Correct Answer 9. If and are vectors of magnitude then the magnitude of is (a) 2 (b) 3 (c) 2 (d) 1 10. If then (a) (b) (c) (d)

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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)

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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

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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

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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

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Choose the Correct Answer 19. If are non-coplanar and (a) 2(b) 3 (c) 1(d) 0 20. The shortest distance of the point (2, 10, 1) from the plane (a) 2 26 (b) 26 (c) 2(d) 1/ 26

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

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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

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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) 4 25. 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

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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)

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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

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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)

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Choose the Correct Answer 28. If and then a unit vector perpendicular to (a) (b) (c) (d)

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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

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

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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)

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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)

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Choose the Correct Answer 1. The value of if and is (a) 19(b) 3 (c) – 19 (d) 14 2. The value of if and is (a) 2(b) – 2 (c) 3 (d) 4

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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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