If l1, m1, n1 and l2, m2, n2 are the DC's of two mutually perpendicular lines, show that the DC's - Maths - Three Dimensional Geometry

Question

If l1, m1, n1 and l2,
m2, n2 are the DC's of two mutually
perpendicular lines, show that the DC's of the line perpendicular
to both of these are m1n2-
m2n1, n1l2 -
n2l1, l1m2 -
l2m1
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Pooja · Accepted Answer

Here is the link for the answer to your query:
https://www meritnation
com/ask-answer/question/if-l1-m1-n1-and-l2-m2-n2-are-the-direction-cosines-of-t/three-dimensional-geometry/6325173

If l1, m1, n1 and l2, m2, n2 are the DC's of two mutually perpendicular lines, show that the DC's of the line perpendicular to both of these are m1n2- m2n1, n1l2 - n2l1, l1m2 - l2m1.Has this question appeared in boards?

If l₁, m₁, n₁ and l₂, m₂, n₂ are the DC's of two mutually perpendicular lines, show that the DC's of the line perpendicular to both of these are m₁n₂- m₂n₁, n₁l₂ - n₂l₁, l₁m₂ - l₂m₁.
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