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

If a vector `(2hati+3hatj+8hatk)` is perpendicular to the vector `(4hatj-4hati+alpha hatk)`, 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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ALLEN -BASIC MATHEMATICS USED IN PHYSICS &VECTORS -DOT PRODUCT
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  11. What is the component of (3hati+4hatj) along (hati+hatj) ?

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