Consider the vectors u=−2i+5j+8k\mathbf{u} = -2\mathbf{i} + 5\mathbf{j} + 8\mathbf{k}u=−2i+5j+8k and v=xi+yj+zk\mathbf{v} = x\mathbf{i} + y\mathbf{j} + z\mathbf{k}v=xi+yj+zk.
Given that the sum of vectors u\mathbf{u}u and v\mathbf{v}v is −7i−j+3k-7\mathbf{i} - \mathbf{j} + 3\mathbf{k}−7i−j+3k, determine the values of xxx, yyy, and zzz.
Practise Edexcel A Level Maths 12.4 Application to Mechanics with exam-style questions for A Level Maths. 12 questions, matched to the Edexcel A Level Maths (9MA0) 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.
