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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

C

`(1)/(2)`

D

`-(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
(c): Let `vecA=2hati+3hatj+8hatk`
`vecB=4hatj-4hati+alpha hatk`
`vecA.vecB=0`
`(2hati+3hatj+8hatk).(-4hati+4hatj+alphahatk)=0`
`-8+12+8alpha=0`
`8alpha= -4`
`alpha= -(1)/(2)`
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MODERN PUBLICATION-MOTION IN A PLANE -COMPETITION FILE OBJECTIVE TYPE QUESTIONS (B. Multiple Choice Questions)
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