Show that no line in space can make angles `(pi)/(6)` and `(pi)/(4)` with x -axis and y -axis.

If a line makes angles (pi)/(3) and (pi)/(4) with the x-axis and y-axis respectively, then the acute angle made by the line with z-axis is

If the normal of the plane makes angles (pi)/(4),(pi)/(4)" and "(pi)/(2) with positive X-axis, Y-axis and Z-axis respectively and the length of the perpendicular line segment form origin to the plane is sqrt(2) , then the equation of the plane is ……......

If a line makes angles (pi)/(4) and (pi)/(3) with Y-axis and Z-axis respectively then the obtuse angle made by that line with X -axis is

A straight line makes angles (pi)/(4) and (pi)/(3) with the positive directions of x-axis and z-axis respectively. Then, the acute angle made by the line with y-axis is -

Find the lines through the point (0,2) making angles (pi)/(3) and (2 pi)/(3) with the x -axis.Also,find the lines parallel to the cutting the y-axis at a distance of 2units below the origin.

If a line makes angle (pi)/3 and (pi)/4 with x-axis and y-axis respectively then the angle made by the line with z-axis, is