u=−i+9j−4k\mathbf{u} = -\mathbf{i} + 9\mathbf{j} - 4\mathbf{k}u=−i+9j−4k and v=xi+yj+zk\mathbf{v} = x\mathbf{i} + y\mathbf{j} + z\mathbf{k}v=xi+yj+zk
Given that the resultant displacement of u\mathbf{u}u and v\mathbf{v}v is 5i−3j+2k5\mathbf{i} - 3\mathbf{j} + 2\mathbf{k}5i−3j+2k, find the values of xxx, y y\,y and zzz.
Find the values of xxx, y y\,y and zzz.
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.
