If the direction cosines of a line are frac{1 | vedclass

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(C) The direction cosines of a line are denoted by $\ell, m, n$. Given that $\ell = \frac{1}{c}$,$m = \frac{1}{c}$,and $n = \frac{1}{c}$. We know the

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$c=\pm \sqrt{3}$

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(C) The direction cosines of a line are denoted by $\ell, m, n$. Given that $\ell = \frac{1}{c}$,$m = \frac{1}{c}$,and $n = \frac{1}{c}$. We know the fundamental property of direction cosines is $\ell^{2} + m^{2} + n^{2} = 1$. Substituting the given values: $(\frac{1}{c})^{2} + (\frac{1}{c})^{2} + (\frac{1}{c})^{2} = 1$. This simplifies to $\frac{1}{c^{2}} + \frac{1}{c^{2}} + \frac{1}{c^{2}} = 1$,which is $\frac{3}{c^{2}} = 1$. Therefore,$c^{2} = 3$,which gives $c = \pm \sqrt{3}$.

If the direction cosines of a line are $\frac{1}{c}, \frac{1}{c}, \frac{1}{c}$,then:

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