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If vecA=4veci-2hatj+4hatk and vecB=-4hat...

If `vecA=4veci-2hatj+4hatk` and `vecB=-4hati+2hatj+alphahatk` are perpendicular to each other then find value of `(alpha)` ?

Text Solution

Verified by Experts

The correct Answer is:
5
`because vecA & vecB` are perpendicular to each other
`therefore vecA*vecB =0`
`rArr( 4hati-2hatj+4hatk)*( -4hati+ 2hatj+ alpha hatk) =0`
`rArr -16 -4+4alpha =0`
`rArr alpha =5`
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