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If a line makes angle 90°, 60° and 30° with the positive direction of X, Y and Z axes respectively, find its direction cosines - Mathematics and Statistics

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Question

If a line makes angle 90°, 60° and 30° with the positive direction of X, Y and Z axes respectively, find its direction cosines

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Sum
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Solution

Let the direction cosines of the line be l, m, n.

∴ l = cos 90°, m = cos 60°, n = cos 30°

∴ l = 0, m = `1/2`, n = `sqrt(3)/2`

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Chapter 1.5: Vectors and Three Dimensional Geometry - Very Short Answers

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SCERT Maharashtra Mathematics and Statistics (Arts and Science) [English] 12 Standard HSC
Chapter 1.5 Vectors and Three Dimensional Geometry
Very Short Answers | Q 10
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