The direction cosines of a vector are and  then the vector is
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if the directional cosines are given as (0, 0, 1), then it means the Z axes. The directional cosines of X axes is (1, 0, 0). ... If the direction of the line (or the position vector) is reversed, then the directional cosines are cos (π-α) , cos ( π-β), cos (π- γ).
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