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Find the direction cosines of the following line: 3-x-1=2y-12=z4 - Mathematics

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Question

Find the direction cosines of the following line:

`(3 - x)/(-1) = (2y - 1)/2 = z/4`

Sum

Solution

The given line is `(x - 3)/1 = (y - 1/2)/1 = z/4`

Its direction ratios are <1, 1, 4>

Its direction cosines are `(1/(3sqrt(2)), 1/(3sqrt(2)), 4/(3sqrt(2)))`

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Direction Cosines
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