Mathematics 7357: Vectors Topical Past Paper Questions

Two forces, $F_{1}$ and $F_{2}$, are acting on a particle of mass 3 kilograms. It is given that $$ \mathbf{F}_{1}=\left[\begin{matrix}a\\ 23\end{matrix}\right]newtons\quad and\quad\mathbf{F}_{2}=\left[\begin{matrix}4\\ b\end{matrix}\right]newtons $$ where $a$ and $b$ are constant…

Two skaters, Jo and Amba, are separately skating across a smooth, horizontal surface of ice. Both are moving in the same direction, so that their paths are straight and are parallel to each other. Jo is moving with constant velocity $ (2.8i + 9.6j)\,m\,s^{-1} $ At time $ t = 0 $…

A particle, P, is moving with constant velocity $ 8i - 12j $ A second particle, Q, is moving with constant velocity $ ai + 9j $ Q travels in a direction which is parallel to the motion of P. Find a. Circle your answer. -6 -5 5 6 [1 mark]