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If vec A =2 hat i+ 3 hat j+ 8 hat k is p...

If `vec A =2 hat i+ 3 hat j+ 8 hat k` is perpendicular to `vec B= 4 hat j -4 hat i+ alpha hat k` , then the value of `alpha`

A

1

B

`(1)/(2)`

C

-1

D

`-(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`vec A` is perpendicular to `vec B` :. `vecAvec B=0`
or `(2hat i+ 3hat j+8hat k).(-4hat i+4 hat j+alpha hat k) = 0`
`-8+ 12+8 alpha= 0` or `alpha = -1//2`
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