અદીશ $\mathop {\rm{A}}\limits^ \to  \,\, = \,\,2\hat i\,\, + \;\,3\hat j\,\, + \;\,\hat k$ અને અદીશ $\mathop B\limits^ \to  \,\, = \,\,\hat i\,\, – \,\,\hat j\,\, + \;\,2\hat k$

$\vec A $ અને $\vec B $ નો લંબ એકમ સદીશ $\hat n\, = \,\,\frac{{\mathop A\limits^ \to  \,\, \times \,\,\mathop B\limits^ \to  }}{{|\mathop A\limits^ \to  \,\, \times \,\,\mathop B\limits^ \to  |}}$

$\,\,\mathop A\limits^ \to  \,\, \times \,\,\mathop B\limits^ \to  \,\, = \,\,\left| {\left. {\begin{array}{*{20}{c}}
{\hat i}&{\hat j}&{\hat k}\\
2&3&1\\
1&{ – 1}&2
\end{array}} \right|} \right.\,\, = \,\,\hat i\left( {6\,\, + \;\,1} \right)\,\, – \,\,\hat j\,\,\left( {4\,\, – \,\,1} \right)\,\, + \;\,\hat k\,\,\left( { – 2\,\, – \,\,3} \right)\,\, = \,\,7\hat i\,\, – \,\,3\hat j\,\, – \,\,5\hat k$

$\,|\mathop A\limits^ \to  \,\, \times \,\,\mathop B\limits^ \to  |\,\, = \,\,\sqrt {{7^2}\,\, + \;\,{{\left( { – 3} \right)}^2}\,\, + \;\,{{\left( { – 5} \right)}^2}} \,\, = \,\,\sqrt {83} $ એકમ 

$\therefore \,\hat n\,\, = \,\,\frac{1}{{\sqrt {83} }}\,\,\left( {7\hat i\,\, – \,\,3\hat j\,\, – \,\,5k} \right)$