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If a vector 2 hati+ 3 hatj+ 8 hatk i...

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

A

`-1`

B

`-(1)/(2)`

C

`(1)/(2)`

D

`1`

Text Solution

Verified by Experts

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