<p>The line equation ${l}:\mathbf{r}=\left( \begin{matrix}-2\\1\\3\\\end{matrix}\right)+\lambda \left( \begin{matrix}1\\-2\\1\\\end{matrix} \right)$. Find the position vector of the foot $N$ of the perpendicular from $A\left( \begin{matrix}0\\2\\-3\\\end{matrix} \right)$ . Hence find the position vector of the image of  $A$ in the line $l$ .</p>

The line equation ${l}:\mathbf{r}=\left( \begin{matrix}-2\\1\\3\\\end{matrix}\right)+\lambda \left( \begin{matrix}1\\-2\\1\\\end{matrix} \right)$. Find the position vector of the foot $N$ of the perpendicular from $A\left( \begin{matrix}0\\2\\-3\\\end{matrix} \right)$ . Hence find the position vector of the image of  $A$ in the line $l$ .

Foot of Perpendicular of a Point to a Line and Point of Reflection

Vectors

H2 Math

International Baccalaureate Higher Level Mathematics

Vectors - Foot of Perpendicular of a Point to a Line and Point of Reflection

Question 9ab22eee

Video Solution: