Prove that the three lines from with direction cosines ; and are coplanar

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Prove that the three lines from OO with direction cosines l1,m1,n1l_1, m_1, n_1 ; l2,m2,n2l_2, m_2, n_2 and l3,m3,n3l_3, m_3, n_3 are coplanar, if l1(m2n3−n2m3)+m1(n2l3−l2n3)+n1(l2m3−l3m2)=0l_1(m_2n_3 - n_2m_3) + m_1(n_2l_3 - l_2n_3) + n_1(l_2m_3 - l_3m_2) = 0 .

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