A vector is inclined at `(pi)/(4)` rad with x-axis `(pi)/(3)` rad with y-axis then find angle of vector with z-axis

The direction angles of a vector with x-axis is (pi)/(4) with y -axis is (pi)/(3) .Find the direction angle of the vector with z-axis.

Find a vector vec(a) of a magnitude 5sqrt(2) making an angle of (pi)/(4) with x-axis , (pi)/(2) with y-axis and an acute angle theta with z-axis.

If a line makes an angle (pi)/(3) with x-axix,(pi)/(4) with y- axix then angle made by line with z- axi is

Find a vector vec a of magnitude 5sqrt(2) making an angle (pi)/(4) with x -axis,(pi)/(2) with y -axis and an acute angle theta with z -axis

Find a vector vec a of magnitude 5sqrt(2) making an angle of (pi)/(4) with x -axis,(pi)/(2) with y -axis and an acute angle theta with z -axis.

Find a vector veca of magnitude 5sqrt2 making an angle pi/4 with x-axis, pi/2 with y-axis and at angle 'theta' with z-axis.

IF a unit vector veca makes angles pi/4 and pi/3 with x-axis and y-axis respectively and an acute angle theta with z-axis, then find theta and the (scalar and vector) coponents of veca along the axes.

Find a vector vec a of magnitude 5sqrt(2) making an angle of pi/4 with x-axis, pi/2 with y-axis and an acute angle theta with z-axis.