The points P P\,P and Q Q\,Q have position vectors rP=3i−j+4k\mathbf{r}_P = 3\mathbf{i} - \mathbf{j} + 4\mathbf{k}rP=3i−j+4k and rQ=−2i+4j+k\mathbf{r}_Q = -2\mathbf{i} + 4\mathbf{j} + \mathbf{k}rQ=−2i+4j+k respectively.
Find the vector PQ⃗\vec{PQ}PQ
Find ∣PQ⃗∣|\vec{PQ}|∣PQ∣
