Given that the point P P\,P has position vector 5i+2j−4k5\mathbf{i} + 2\mathbf{j} - 4\mathbf{k}5i+2j−4k and the point Q Q\,Q has position vector −3i+j+6k-3\mathbf{i} + \mathbf{j} + 6\mathbf{k}−3i+j+6k
Find the vector PQ⃗\vec{PQ}PQ
Find ∣PQ⃗∣|\vec{PQ}|∣PQ∣