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If vec(a) = hat(i) + 4hat(j) + 2hat(k), ...

If `vec(a) = hat(i) + 4hat(j) + 2hat(k), vec(b) = 3hat(i) - 2hat(j) + 7hat(k)` and `vec(c) = 2hat(i) - hat(j) + 4hat(k)`. Find a vector `vec(p)` which is perpendicular to both `vec(a)` and `vec(b)` and `vec(p).vec(c) = 18`.

Text Solution

Verified by Experts

The correct Answer is:
`(160)/(3)hat(i)-(5)/(3)hat(j)-(70)/(3)hat(k)`
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