a=−5i+7j\mathbf{a} = -5\mathbf{i} + 7\mathbf{j}a=−5i+7j and b=xi+yj\mathbf{b} = x\mathbf{i} + y\mathbf{j}b=xi+yj
Given that the resultant force of a\mathbf{a}a and b\mathbf{b}b is −2i−3j-2\mathbf{i} - 3\mathbf{j}−2i−3j find the values of x x\,x and yyy
168 exam-style questions on AQA A Level Maths 1.13 J: Vectors, 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. Each one has a worked solution and a mark scheme showing where the marks go.