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If a vector (2hati+3hatj+ 8hatk) is perp...

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

A

-1

B

`1//2`

C

`-1//2`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
C
`(2hati+3hatj+8hatk)*(4hatj-4hati+alpha hatk)=0
`-8+12+ 8alpha =0 rArr 8alpha =-4`
`" "alpha = -1//2`
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