Mathematics Pure Math 1 9709: VECTORS Topical Past Paper Questions

Relative to an origin O, the position vectors of the points A, B and X are given by $$ \overrightarrow{OA}=\left(\begin{matrix}-8\\ -4\\ 2\end{matrix}\right),\quad\overrightarrow{OB}=\left(\begin{matrix}10\\ 2\\ 11\end{matrix}\right)\quad and\quad\overrightarrow{OX}=\left(\begin{…

The diagram shows a solid figure $ OABCDEFG $ with a horizontal rectangular base OABC in which $ OA = 8 $ units and $ AB = 6 $ units. The rectangle $ DEFG $ lies in a horizontal plane and is such that D is 7 units vertically above O and DE is parallel to OA. The sides DE and DG h…

Relative to an origin $O$, the position vectors of the points $A, B$ and $C$ are given by $$ \overrightarrow{OA}=\left(\begin{matrix}8\\ -6\\ 5\end{matrix}\right),\quad\overrightarrow{OB}=\left(\begin{matrix}-10\\ 3\\ -13\end{matrix}\right)\quad and\quad\overrightarrow{OC}=\left(…