If vector vecA =4 hati -6 hatJ +2hatk an...

If vector `vecA =4 hati -6 hatJ +2hatk` and `vecB =6hati +8 hatj +mhatk` are m utually perpendicular, m = ....

A

24

B

12

C

20

D

36

Text Solution

Verified by Experts

The correct Answer is:

B

`vec(A ) _|_ vec(B ) ` so `vec( A ) . Vec(B ) = 0`
`(4hat(I ) - 6hat(j ) + 2hat(k )) (hat(I ) = 8hat(I ) + mhat(k )) = 0`
`2 m =24`
`m=12 `

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