Additional Mathematics 4037: Vectors in two dimensions Topical Past Paper Questions

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…

In this question i is a unit vector in the positive x-direction and j is a unit vector in the positive y-direction. Time is in seconds and distances are in metres. The diagram shows the initial positions and velocities of two particles, A and B, that move in the x-y plane. Partic…

The diagram shows a triangle OAB. The point C is the mid-point of OA. The point D lies on CB such that $ CD : DB = 2 : 3 $. $$ \overrightarrow{OC}=\mathbf{c}\qquad\overrightarrow{CB}=\mathbf{b} $$ The point $E$ lies on $AB$ such that $\overrightarrow{OE} = \lambda \overrightarrow…