<p>The line equation $l:\mathbf{r}=\left( \begin{matrix}
   5  \\
   2  \\
   0  \\
\end{matrix} \right)+\lambda \left( \begin{matrix}
   1  \\
   -2  \\
   2  \\
\end{matrix} \right)$. Find the position vector of the foot $N$ of the perpendicular from $A\left( \begin{matrix}
   9  \\
   1  \\
   6  \\
\end{matrix} \right)$. Hence find the position vector of the image of $A$ in the line $l$.<br></p>

The line equation $l:\mathbf{r}=\left( \begin{matrix}
   5  \\
   2  \\
   0  \\
\end{matrix} \right)+\lambda \left( \begin{matrix}
   1  \\
   -2  \\
   2  \\
\end{matrix} \right)$. Find the position vector of the foot $N$ of the perpendicular from $A\left( \begin{matrix}
   9  \\
   1  \\
   6  \\
\end{matrix} \right)$. 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 77de53dd