If a line makes 60° and 45° angles with the positive directions of x-axis and z-axis respectively, then find the angle that it makes with the positive direction of y-axis. Hence, write the direction cosines of the line.

Question

TextDirection Cosines of a LineSkew Lines in Three Dimensional GeometryCBSE PYQ

Similar Questions

If the direction cosines of a line are √3 k, √3 k, √3 k, then the value of k is :

Assertion (A) : A line in space cannot be drawn perpendicular to x, y and z axes simultaneously. Reason (R) : For any line making angles, α, β, γ with the positive directions of x, y and z axes respectively, cos² α + cos² β + cos² γ = 1.

Assertion-ReasonThree Dimensional Coordinate System