Vectors and Mechanics
JUPEB Mathematics

The vectors $\mathbf{a}$ and $\mathbf{b}$ are given by $\mathbf{a} = 2\mathbf{i} + 3\mathbf{j}$ and $\mathbf{b} = -\mathbf{i} + 4\mathbf{j}$. (a) Find $\mathbf{a} + \mathbf{b}$ and $2\mathbf{a} - \mat…

The position vectors of points $P$ and $Q$ relative to an origin $O$ are $\mathbf{p} = \mathbf{i} + 2\mathbf{j} - \mathbf{k}$ and $\mathbf{q} = 3\mathbf{i} - \mathbf{j} + 2\mathbf{k}$. (a) Find the ve…