Find the direction cosines of a line which makes equal angles with the coordinate axes.
Find the direction cosines of a line which makes equal angles with the coordinate axes.
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Here, `l = m = n`
Now, from the formula `l^(2) + m^(2) + n^(2) = 1`
`l^(2) + l^(2) + l^(2) = 1`
`rArr 3l^(2)=1`
`rArr l = +- 1/(sqrt(3))`
Therefore direction cosines of the line are `+-(1)/(sqrt(3)),+-(1)/(sqrt(3)),+-(1)/(sqrt(3))`.
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