Direction Cosines & Direction Ratios – Definitions & Examples | Class 12 Math Notes Study Material Download Free PDF

January 16, 2025 by Neeraj Anand, Param Anand

$When a directed line op passing through the origin makes $\begin{array}{l}\alpha \end{array} $ , $\begin{array}{l}\beta\end{array} $ and $\begin{array}{l} \gamma\end{array} $ angles with the $\begin{array}{l}x\end{array} $ , $\begin{array}{l}y \end{array} $ and $\begin{array}{l}z \end{array} $ axis respectively with o as the reference, these angles are referred as the direction angles of the line and the cosine of these angles give us the direction cosines. These direction cosines are usually represented as l, m and n.$

Direction Cosines When a directed line OP passing through the origin makes $\begin{array}{l}\alpha \end{array} $ , $\begin{array}{l}\beta\end{array} $ and \(\begin{array}{l} …