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If a line makes angles 90°, 135°, 45° with x, y and z-axis respectively then which of the following will be its direction cosine. -

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Question

If a line makes angles 90°, 135°, 45° with x, y and z-axis respectively then which of the following will be its direction cosine.

Options

  • `(0, - 1/sqrt(2), 1/sqrt(2))`

  • `(1/sqrt(2), 0, -1/sqrt(2))`

  • `(1/sqrt(2), -1/sqrt(2), 0)`

  • `(0, 1/2, 1)`

MCQ

Solution

`(0, - 1/sqrt(2), 1/sqrt(2))`

Explanation:

Direction angles are 90°, 135°, 45°

∴ Direction consine are `l` = cos 90° = 0, m = cos 135° = `1/2` n = cos 45° = `1/sqrt(2)`

Hence direction cosines `0, - 1/sqrt(2), 1/sqrt(2)`

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