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Question

Vector a lies in x – y plane, has magnitude of 18 units and points in a direction 250° from positive x-axis. Vector b has magnitude 12 units and points in positive z-axis.
What is c=c × b?


A
10 rev/s
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B

20 rev/s

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C

30 rev/s

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D

40 rev/s

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Solution

The correct option is D

40 rev/s



The angle between a and b is 90° as a is in x – y plane and b is along positive z.

|a| = |a × a|= ab sin 90°

⇒ c = ab = 18 units

Also, the direction of c is perpendicular to b as well as a, and using the screw rule we can see that it points 160° from positive x-axis, making it 90° from a , and from b in the x – y plane.

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