In this video I show you how to find the closest point and shortest distance from the origin to a line.
I use the following example to demonstrate this.
![Rendered by QuickLaTeX.com \[\begin{array}{l} {\rm{If }}l:{\bf{r}} = \left( {\begin{array}{*{20}{c}} { - 3}\\ 3\\ { - 1} \end{array}} \right) + \lambda \left( {\begin{array}{*{20}{c}} 1\\ { - 3}\\ 2 \end{array}} \right)\\ \end{array}\]](https://www.examsolutions.net/wp-content/ql-cache/quicklatex.com-09f685f599595c503ccdab8269b82145_l3.png)
Find the closest point on the line l to the origin and the shortest distance.
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