The points PPP, QQQ, R R\,R and S S\,S have position vectors p=−3i+10j−7k\mathbf{p} = -3\mathbf{i} + 10\mathbf{j} - 7\mathbf{k}p=−3i+10j−7k, q=5i+4j+3k\mathbf{q} = 5\mathbf{i} + 4\mathbf{j} + 3\mathbf{k}q=5i+4j+3k, r=−4i+6j−12k\mathbf{r} = -4\mathbf{i} + 6\mathbf{j} - 12\mathbf{k}r=−4i+6j−12k and s=8i−3j+3k\mathbf{s} = 8\mathbf{i} - 3\mathbf{j} + 3\mathbf{k}s=8i−3j+3k
Show that PQ⃗\vec{PQ}PQ is parallel to RS⃗\vec{RS}RS
