Additional Mathematics 0606: VECTORS Topical Past Paper Questions

In this question, i is a unit vector due east and j is a unit vector due north. Distances are measured in kilometres and time is measured in hours. Point P has position vector $ 2i+5j $ relative to an origin O. At 1300, boat A sails from point P with velocity vector $ 8i+8j $. (a…

In this question lengths are in centimetres and time, t, is in seconds. A particle P is moving in a straight line with a speed of 26 in the direction of the vector $ \begin{pmatrix} 5 \\ -12 \end{pmatrix} $. (a) Find the velocity vector of P. [2] When t = 0, P passes through a po…

(a) The diagram shows a triangle OAB. The point P lies on AB. The ratio AP : PB is 1 : 3. Given that $ \overrightarrow{OA} = \mathbf{a} $ and $ \overrightarrow{OB} = \mathbf{b} $, find an expression for $ \overrightarrow{OP} $ in terms of $ \mathbf{a} $ and $ \mathbf{b} $. Simpli…