Let `OP` is a ray making angles `(pi)/(3)` with both `x` and `y` axis. The length of the projection of OP on

A line makes an angle theta both with x-axis and y-axis. A possible range of theta is

Let a vector r make angles 60^(@), 30^(@) with X and Y -axis, respectively. What are the direction cosines of r ?

If the vector OP in XY plane whose magnituce is sqrt(3) makes an angle 60^(@) with Y -axis,the length of the component of the vector in direction of X-axis is

A unit vector of modulus 2 is equally inclined to x - and y -axes at an angle pi/3. Find the length of projection of the vector on the z - axis.

A line (2,3) makes an angle (3pi)/4 with the negative direction of X- axis . Find the length of the line segment cut off between (2,3) and the line x+y - 7 = 0

If a line OP through the origin O makes angles alpha,45^(@)and60^(@) with x, y and z axis respectively then the direction cosines of OP are.

If the straight line drawn through the point P(sqrt3,2) and making an angle (pi)/(6) with the x-axis meets the line sqrt3x-4y+8=0 at Q, find the length of PQ.

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.

A vector makes an angle of (pi)/(4) with each of x- axis and y -axis Find the angle made by it with the z-axis.