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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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