Vector Algebra One Mark Questions PREPARED BY:

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

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)

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

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

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)

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)

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)

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

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

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

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

The vector (a) (b) (c) (d)

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

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

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

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

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)

If and then a unit vector perpendicular to (a) (b) (c) (d)

The shortest distance between the lines (a) (b) (c) (d) The following two lines are (a) parallel (b) intersecting (c) skew (d) perpendicular

The shortest distance between the parallel lines (a) (b) 2 (c) (d) 0

The point of intersection of the lines (a) (0, 0, – 4) (b) (1, 0, 0) (c) (0, 2, 0) (d) (1, 2, 0)

The point of intersection of the lines (a) (2, 1, 1) (b) (1, 2, 1) (c) (1, 1, 2) (d) (1, 1, 1)

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