Q. 295.0( 2 Votes )

Find the direction cosines of a vector which is equally inclined to the x - axis, y - axis and z - axis.

Answer :

Direction cosines of a vector l, m, n are related to each other as


Now given that equally inclined to three axes with an angle of θ. Then direction cosines l, m, n are


l = m = n = cosθ


Putting values of direction cosines in equation,


Cos2θ + Cos2θ + Cos2θ = 1


3Cos2θ = 1




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