Given C→ = A→ × B→&

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

211.

The angle subtended by the vector A = 4i + 3j + 12k with the x-axis

  • sin-1313

  • sin-1413

  • cos-1413

  • cos-1313


212.

A and B are two vectors given by A = 2i^ + 3j^ and B = i^ + j^. The magnitude of the component of A along B is 

  • 52

  • 32

  • 72

  • 12


Advertisement

213.

Given C = A × B and D = B × A. What is the angle between C and D ?

  • 30°

  • 60°

  • 90°

  • 180°


D.

180°

C and D are antiparallel since A × B = - B × A . Hence, angle between C and D is 180°.


Advertisement
214.

A bullet is fired with a velocity u making an angle of 60° with the horizontal plane. The horizontal component of the velocity of the bullet when it reaches the maximum height is

  • u

  • 0

  • 3u2

  • u2


Advertisement
215.

A particle is projected at 60° to the horizontal with a kinetic energy KE. The kinetic energy at the highest point is

  • KE

  • zero

  • KE4

  • KE2


216.

A body is projected with a speed u m/s at an angle β with the horizontal. The kinetic energy at the highest point is 34th of the initial kinetic energy. The value of β is

  • 30°

  • 45°

  • 60°

  • 120°


217.

A ball is projected horizontally with a velocity of 5 m/s from the top of a building 19.6 m high. How long will the ball take to hit the ground ?

  • 2 s

  • 2 s

  • 3 s

  • 3 s


218.

A stone falls freely from rest and the total distance covered by it in the last second of its motion equals the distance covered by it in the first three seconds of its motion. The stone remains in the air for

  • 6 s

  • 5 s

  • 7 s

  • 4 s


Advertisement
219.

The value of λ for which the two vectors a = 5 i^ + λ j^ + k^ and b = i^ - 2 j^ + k^ are perpendicular to each other is

  • 2

  • - 2

  • 3

  • - 3


220.

If a + b = c and a + b = c, the the angle included between a and b is

  • 90°

  • 180°

  • 120°

  • zero


Advertisement