If ell, m, n and a, b, c are direction cosine | vedclass

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(C) Let the two lines be $L_1$ and $L_2$ with direction cosines $(\ell, m, n)$ and $(a, b, c)$ respectively.For two lines with direction cosines $(\el

Vedclass · Accepted Answer

the direction ratios of the bisectors of the angles between the two lines are $\ell \pm a, m \pm b, n \pm c$

Vedclass · Answer

(C) Let the two lines be $L_1$ and $L_2$ with direction cosines $(\ell, m, n)$ and $(a, b, c)$ respectively.For two lines with direction cosines $(\ell_1, m_1, n_1)$ and $(\ell_2, m_2, n_2)$, the direction ratios of the angle bisectors are given by $(\ell_1 \pm \ell_2, m_1 \pm m_2, n_1 \pm n_2)$.Thus, for the given lines, the direction ratios of the bisectors are $(\ell \pm a, m \pm b, n \pm c)$.Therefore, option $C$ is correct.

If $\ell, m, n$ and $a, b, c$ are direction cosines of two lines, then:

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