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If a vector 2hati +3hatj +8hatk is perpe...

If a vector `2hati +3hatj +8hatk` is perpendicular to the vector `4hati -4hatj + alphahatk,` then the value of `alpha` is

A

-1

B

`(1)/(2)`

C

`-(1)/(2)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
`(2hati+3hatj +8hatk).(4hati - 4hatj+alpha hatk)=0`
`:. 8-12 + 8alpha=0`c
`:. alpha=(1)/(2).`
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