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Question

If a line makes angles 90, 135,45 with the x,y and z axes respectively, find its direction cosines.

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Solution

For a line making angles α, β, γ with x,y and z axes respectively, the direction cosines of the line are cosα, cosβ, cosγ respectively.
Here, α = 90, β = 135, γ = 45cosα = 0cosβ = 12cosγ = 12
So, the dc's of the line are (0, 12, 12)

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