The vectors a\mathbf{a}a and b\mathbf{b}b are defined as a=4i−2j−5k\mathbf{a} = 4\mathbf{i} - 2\mathbf{j} - 5\mathbf{k}a=4i−2j−5k and b=xi+yj+zk\mathbf{b} = x\mathbf{i} + y\mathbf{j} + z\mathbf{k}b=xi+yj+zk.
Given that the resultant force of a\mathbf{a}a and b\mathbf{b}b is i+3j−2k\mathbf{i} + 3\mathbf{j} - 2\mathbf{k}i+3j−2k, find the values of xxx, yyy, 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.
