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

If `vec(a) = hat(i) + 2hat(j) + hat(k), vec(b) = 2hat(i) + hat(j)` and `vec(c) = 3hat(i) - 4hat(j) - 5hat(k)`, then find a unit vector perpendicular to both of the vectors `(vec(a) - vec(b))` and `(vec(c) - vec(b))`.

Text Solution

Verified by Experts

The correct Answer is:
`-(hat(j))/(sqrt(2)) + (hat(k))/(sqrt(2))`
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