[In this question the unit vectors i\mathbf{i}i and j\mathbf{j}j are due east and due north respectively.]
At time t=0t = 0t=0, a particle P P\,P is at position (−4i+3j)m(-4\mathbf{i} + 3\mathbf{j})\text{m}(−4i+3j)m relative to a fixed origin, OOO.
The particle moves with velocity (8i−2j)ms−1(8\mathbf{i} - 2\mathbf{j})\text{ms}^{-1}(8i−2j)ms−1
Find the exact speed of PPP.
Show that P P\,P passes through the point A A\,A with position (16i−2j)m(16\mathbf{i} - 2\mathbf{j})\text{m}(16i−2j)m.
284 exam-style questions on Edexcel A Level Maths Vectors, covering 11.1 Vectors, 11.2 Representing Vectors, 11.3 Magnitude and Direction, 11.4 Position Vectors, 11.5 Solving Geometric Problems, and 11.6 Modelling with Vectors. Each one has a worked solution and a mark scheme showing where the marks go.