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 unit vector vec(a) makes an angle (pi)/(3) with hat(i), (pi)/(4) with hat(j) and a acute angle theta with hat(k) , then find the value of theta .

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

The point on the curve y^(2)=x , where the tangent makes an angle of (pi)/(4) with x-axis is :

A line which makes angle 60^(o) with y -axis and z-axis, then the angle which it makes with x -axis is

If a unit vector veca makes angles (pi)/(3) with hati,(pi)/(4) with hatj and an acute angle theta with hatk then find theta and hence , the components of veca .

The point on the curve y^(2) = x where the tangent makes an angle (pi)/(4) with X-axis is

If a unit vector hat(a) , makes angles (pi)/(3) with hat(i),(pi)/(4) with hat(j) and an acute angle theta with hat(k) , then find theta and hence the components of a.

If a line makes angles pi/3 and pi/4 with the x-axis and y-axis respectively. Then the angle made by the line with z-axis is

The equation of the tangent to the parabola y^(2)=8 x making an angle 30^(circ) with the x -axis is

A unit vector hata makes an angle pi/4 with z-axis, if hata+hati+hatj is a unit vector then hata is equal to