[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 (−2i+4j)m(-2\mathbf{i} + 4\mathbf{j})\text{m}(−2i+4j)m relative to a fixed origin, OOO.
The particle moves with velocity (4i−6j)ms−1(4\mathbf{i} - 6\mathbf{j})\text{ms}^{-1}(4i−6j)ms−1
Find the speed of PPP.
Show that P P\,P passes through the point A A\,A with position (8i−11j)m(8\mathbf{i} - 11\mathbf{j})\text{m}(8i−11j)m.
20 exam-style questions on Edexcel AS 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.