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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

For the vector to be perpendicular, their dot product has to be zero.
`:.(3hat(i)-2hat(j)+hat(k)).(2hat(i)+6hat(j)+mhat(k))=0`
`rArr6-12+m=0`
`rArrm-6=0 rArrm=6`.
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