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If l(1), m(1), n(1) and l(2), m(2), n(2)...

If `l_(1), m_(1), n_(1)` and `l_(2), m_(2), n_(2)` are direction cosines of two mutually perpendicular straight lines, then prove that the direction cosines of the straight line which is perpendicular to both the given lines are
`pm (m_(1)n_(2)-m_(2)n_(1)), pm (n_(1)l_(2)-n_(2)l_(1)), pm (l_(1)m_(2)-l_(2)m_(1))`

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