The points LLL, MMM, N N\,N and T T\,T have position vectors l=i+3j−2k\mathbf{l} = \mathbf{i} + 3\mathbf{j} - 2\mathbf{k}l=i+3j−2k, m=7i−j+4k\mathbf{m} = 7\mathbf{i} - \mathbf{j} + 4\mathbf{k}m=7i−j+4k, n=2i+j+5k\mathbf{n} = 2\mathbf{i} + \mathbf{j} + 5\mathbf{k}n=2i+j+5k, t=−7i+7j−4k\mathbf{t} = -7\mathbf{i} + 7\mathbf{j} - 4\mathbf{k}t=−7i+7j−4k
Show that LM⃗\vec{LM}LM is parallel to NT⃗\vec{NT}NT
55 exam-style questions on Edexcel A Level Maths 12.3 Solving Geometric Problems. Each one has a worked solution and a mark scheme showing where the marks go.