[" Find the equations of the two lines through the origin "],[" which intersect the line "(x-3)/(2)=(y-3)/(1)=(z)/(1)" at angle of "(pi)/(3)],[" each."]

Find the equation of the two lines through the origin which intersects the line (x-3)/(2)=(y-3)/(1)=(z)/(1) at angles of (pi)/(3) each.

Find the equation of line through the origin and a point where line (x-1)/2=(y-2)/4=(z-3)/4 . Cuts the z-axis.

Find the equation of line through the origin and a point where line (x-1)/2=(y-2)/4=(z-3)/4 . Cuts the z-axis.

Find the equation of the line passing through the point P(4,6,2) and the point of intersection of the line (x-1)/(3)=(y)/(2)=(z+1)/(7) and the plane x+y-z=8^(3)

Joint equation of two lines through the origin, each making angle of 45^(@) with line 3x-y=0 is

Find the equations of the line passing through the point (-1,3,-2) and perpendicular to each of the lines (x)/(1) =(y)/(2)=(z)/(3) " and " (x+2)/(-3) =(y-1)/(2)=(z+1)/(5)

Find the equation of the line passing through the point (3,1,2) and perpendicular to the lines (x-1)/1=(y-2)/2=(z-3)/3 and x/(-3)=y/2=z/5