Find the direction angles of the line with the X-axis which makes direction angles of `135^(@)` and `45^(@)` with Y-axes Z-axes respectively.

P and Q are the points (-1,2,1) and (4,3,5) respectively.Find the projection of PQ on a line which makes angles of 120^(@) and 135^(@) with y and z -axes respectively and an acute angle with the x- axis.

Find the direction cosines of a line which makes equal angles with the coordinate axes.

Find the direction cosines of a line which makes equal angles with the coordinate axes.

Find the direction cosines of a line which makes equal angles with the coordinate axes.

Find the direction cosines of a line which makes equal angles with the coordinate axes.

Find the direction cosines of a line which makes equal angles with the coordinate axes.

Find the direction cosines of a line which makes equal angles with the coordinate axes.

The direction cosines of a line which makes an angle of 45^(@) with Z-axis and congruent angles with X and Y axes, are