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

If ` vec(a) = hat(i) + hat(j) + 2 hat(k) , vec(b) = 2 hat(j) + hat(k) and vec (c) = hat(i) + hat(j) + hat(k)` . Find a unit vector perpendicular to the plane containing `vec(a), vec(b), vec(c)`

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