Mathematics B (MEI) H630: VECTORS Topical Past Paper Questions

Two forces $\mathbf{F}_{1}\mathrm{N}$ and $\mathbf{F}_{2}\mathrm{N}$ are given by $\mathbf{F}_{1}=-6\mathbf{i}+2\mathbf{j}$ and $\mathbf{F}_{2}=-8\mathbf{i}+\mathbf{j}$. Show that the magnitude of the resultant of these two forces is $\sqrt{205}\mathrm{N}$.

The points A and B have position vectors $ \begin{pmatrix}2\\-1\end{pmatrix} $ and $ \begin{pmatrix}5\\4\end{pmatrix} $ respectively. The vector $ \overrightarrow{AC} $ is $ \begin{pmatrix}-2\\2\end{pmatrix} $. (a) Write down the position vector of C as a column vector. [1] (b) S…

With respect to an origin O, the position vectors of the points A and B are $ \overrightarrow{OA} = \begin{pmatrix} -3 \\ 20 \end{pmatrix} $ and $ \overrightarrow{OB} = \begin{pmatrix} 6 \\ 8 \end{pmatrix} $. (a) Determine whether $ \left|\overrightarrow{AB}\right| > 200 $. [2] T…