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If a vector 2hati+3hatj+hatk is perpendi...

If a vector `2hati+3hatj+hatk` is perpendicular to the vector `4hat+4hati+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:
C

`(2hati+3hatj+8hatk)*(4hatj-4hati+alpha hatk)=0
`-8+12+ 8alpha =0 rArr 8alpha =-4`
`" "alpha = -1//2`
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