If a line makes angles 90∘,135∘,45∘ with the x,yandz axes respectively, find its direction cosines.
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Solution
For a line making angles α,β,γ with x,yandz axes respectively, the direction cosines of the line are cosα,cosβ,cosγ respectively. Here,α=90∘,β=135∘,γ=45∘∴cosα=0cosβ=−1√2cosγ=1√2
So, the dc's of the line are (0,−1√2,1√2)