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Find the value of m so that the vector 3...

Find the value of `m` so that the vector `3hat(i)-2hat(j)+hat(k)` may be perpendicular to the vector `2hat(i)+6hat(j)+mhat(k)`.

Text Solution

Verified by Experts

The given vectors will be perpendicular of their dot product is zero.
`(3hat(i)-2hat(j)+hat(k)).(2hat(i)+6hat(j)+mhat(k))=0`
`6(hat(i).hat(i))-12(hat(j).hat(j))+m(hat(k).hat(k))=0`
or `6-12+m=0`
or `m-6=0` or `m=6`
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