CSEC Additional Mathematics · 2014 · Paper 1 · Question Q26

The position vector of the point P relative to an origin O is given as \mathbf{p} = 5\mathbf{i} + 2\mathbf{j} and the position vector of Q relative to an origin O is given as \mathbf{q} = -4\mathbf{i} + 10\mathbf{j}. Which of the following is TRUE?

1. (A)\mathbf{p} and \mathbf{q} are parallel.
2. (B)The acute angle between \mathbf{p} and \mathbf{q} is 60^\circ.
3. (C)\mathbf{p} and \mathbf{q} are perpendicular.
4. (D)The acute angle between \mathbf{p} and \mathbf{q} is 45^\circ.