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A vector P=3hati-2hatj+ahatk is perpendi...

A vector `P=3hati-2hatj+ahatk` is perpendicular to the vector `Q=2hati+hatj -hatk,` The value of a is

A

2

B

1

C

4

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
(c ) Since vector P is perpendicular to the vector Q
`thereforeP.Q =0implies (3hati-2hatj+ahatk).(2hati+hatj-hatk)=0`
`implies 6-2-a=0impliesa=4`
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