Find the equation of the plane through the line `(x-x_1)/l_1=(y-y_1)/m_1=(z-z_1)/n_1` and parallel to the line `(x-alpha)/l_2=(y-beta)/m_2=(z-gamma)/n_2`

The equation of the plane through the line x+y+z+3=0=2x-y+3z+1 and parallel to the line x/1=y/2=z/3 is

Find the equation of the plane containing the line (y)/(b)+(z)/(c)=1,x=0 , and parallel to the line (x)/(a)-(z)/(c)1,y=0 .

Find the equation of the plane passing through the points (1,0,-1)a n d(3,2,2) and parallel to the line x-1=(1-y)/2=(z-2)/3dot

Find the equation of the plane passing through the points (1,0,-1)a n d(3,2,2) and parallel to the line x-1=(1-y)/2=(z-2)/3dot

Find the equation of the projection of the line (x-1)/2=(y+1)/(-1)=(z-3)/4 on the plane x+2y+z=9.

Find the equation of the plane which passes through the line of intersection of the planes a_1x+b_1y+c_1z+d_1=0 and a_2x+b_2y+c_2z+d_2=0 and which is parallel to the line (x-alpha)/l=(y-beta)/m=(z-gamma)/n

Find the equations of the projection of the line (x+1)/- 2=(y-1)/3=(z+2)/4 on the plane 2x+y+4z=1

Find the equation of a line parallel to the line (x-5)/(3) = (y+1)/(-2) = (z)/(1) and passes through the point (0,-1,2) .

Equation of line passing through A(1,0,3), intersecting the line (x/2=(y-1)/3=(z-2)/1) and parallel to the plane x+y+z=2 is

Find the angle between the line (x-1)/1=(y-2)/(-1)=(z+1)/1 and the plane 2x+y-z=4.