If a line makes angles 90°, 135°, 45° with the x, y and z-axes respectively, find its direction cosines

Question

SJ · Answer

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

l = cos 90° = 0

m = cos 135° = -1/√2

n = cos 45° = 1/√2

Hence, the direction cosines of the line are 0, -1/√2, and 1/√2.

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If a line makes angles 90°, 135°, 45° with the x, y and z-axes respectively, find its direction cosines

If a line makes angles 90°, 135°, 45° with the x, y and z-axes respectively, find its direction cosines

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