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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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