If l1, m1, n1 and l2, m2, n2 are the direction cosines of two mutually – InterviewSolution

1.	If l1, m1, n1 and l2, m2, n2 are the direction cosines of two mutually perpendicular lines, show that the direction consines of the line perpendicular to both of these are m1n2−m2n1, n1l2−n2l1, l1m2−l2m1
Answer» If $l_{1}, m_{1}, n_{1} a n d l_{2}, m_{2}, n_{2}$ are the direction cosines of two mutually perpendicular lines, show that the direction consines of the line perpendicular to both of these are $m_{1} n_{2} - m_{2} n_{1}, n_{1} l_{2} - n_{2} l_{1}, l_{1} m_{2} - l_{2} m_{1}$

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