Points $A\,$ and $B\,$ have position vectors $(32)\begin{pmatrix} 3 \\ 2 \end{pmatrix}$ and $(5−2)\begin{pmatrix} 5 \\ -2 \end{pmatrix}$ respectively

Point $C\,$ has position vector $(2p)\begin{pmatrix} 2 \\ p \end{pmatrix}$ and $A$ , $B\,$ and $C\,$ lie on a straight line.

Find $p$

Point $D\,$ has position vector $(2q)\begin{pmatrix} 2 \\ q \end{pmatrix}$ and angle $90^{\circ}$

Determine the value of $q$ .

Points $A\,$ and $B\,$ have position vectors $(32)\begin{pmatrix} 3 \\ 2 \end{pmatrix}$ and $(5−2)\begin{pmatrix} 5 \\ -2 \end{pmatrix}$ respectively

Point $C\,$ has position vector $(2p)\begin{pmatrix} 2 \\ p \end{pmatrix}$ and $A$ , $B\,$ and $C\,$ lie on a straight line.

Find $p$

Point $D\,$ has position vector $(2q)\begin{pmatrix} 2 \\ q \end{pmatrix}$ and angle $90^{\circ}$

Determine the value of $q$ .

Vectors

Vectors Questions