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If L1, M1, N1 And L2, M2, N2 Are the Direction Cosines of Two Mutually Perpendicular Lines, Show that the Direction Cosines of the Line Perpendicular to Both of These Are M1n2 − M2n1, N1l2 − N2l1, L1m2 ­− L2m1. - Mathematics

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प्रश्न

If l1m1n1 and l2m2n2 are the direction cosines of two mutually perpendicular lines, show that the direction cosines of the line perpendicular to both of these are m1n2 − m2n1n1l2 − n2l1l1m2 ­− l2m1.

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उत्तर

It is given that l1m1n1 and l2m2n2 are the direction cosines of two mutually perpendicular lines. Therefore,

Let lmn be the direction cosines of the line which is perpendicular to the line with direction cosines l1m1n1 and l2m2n2

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अध्याय 11: Three Dimensional Geometry - Exercise 11.4 [पृष्ठ ४९७]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 11 Three Dimensional Geometry
Exercise 11.4 | Q 2 | पृष्ठ ४९७

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