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Vector Algebra

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

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Vector Algebra

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

  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) 32 (b) 8(c) 128 (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) 4 (b) 16(c) 32 (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) 0 (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26 (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) 3 (b) 2(c) 1 (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) 19 (b) 3(c) – 19 (d) 14 • The value of if and is(a) 2 (b) – 2 (c) 3 (d) 4

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

  25. The end

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