Answer :

As per the definition of direction cosines, the cosine values of the angles formed by the directed line with the x-axis, y-axis and z-axis.


Here we consider the directed line to be the x-axis.


So from the below figure, we can say,


α = the angle formed by the x-axis with x-axis = 0°


β = the angle formed by the x-axis with y-axis = 90°


γ = the angle formed by the x-axis with y-axis = 90°



Therefore,


cos α = cos 0° = 1


cos β = cos 90° = 0


cos γ = cos 90° = 0


Hence the direction cosines of x-axis are 1, 0, 0.


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