1.

Write the direction cosines of a line equallyinclined to be three coordinate axes.

Answer» As the given line is equally inclined with all three coordinate axis,
let it create angle `alpha` with all three coordinate axis.
Then,
Direction cosines will be `(cos alpha,cos alpha,cos alpha)`.
`:. cos^2alpha+cos^2alpha+cos^2alpha = 1`
`=>3cos^2alpha = 1`
`=>cos alpha = +-1/sqrt3`
When `cos alpha = 1/sqrt3`,
Direction cosines will be `(1/sqrt3,1/sqrt3,1/sqrt3)`.
When `cos alpha = -1/sqrt3`,
Direction cosines will be `(-1/sqrt3,-1/sqrt3,-1/sqrt3)`.


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