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
Practise AQA A Level Maths 1.13 J: Vectors with exam-style questions for A Level Maths. 122 questions covering 1.13.1 Vectors in two and three dimensions, 1.13.2 Magnitude and direction of a vector, 1.13.3 Vector arithmetic, 1.13.4 Position vectors, and 1.13.5 Vectors to solve problems, matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
