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.`

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

Find the equations of the line passing through the point (-4,3,1) perpendicular to the plane x+2y-z=0 .

Find the equation of the plane passing through the point (0,7,-7) and containing the line (x+1)/(-3)=(y-3)/2=(z+2)/1 .

Find the equation of the plane passing through the point (0,7,-7) and containing the line (x+1)/(-3)=(y-3)/(2)=(z+2)/(1)

Find the equation of the plane passing through the point (0,7,-7) and containing the line (x+1)/(-3)=(y-3)/2=(z+2)/1 .

Find the equation of the plane passing through the line (x-1)/5=(y+2)/6=(z-3)/4 and point (4,3,7)dot

Find the equation of the plane passing through the line (x-1)/5=(y+2)/6=(z-3)/4 and point (4,3,7)dot

Equation of line passing through the point (2,3,1) and parallel to the line of intersection of the planes: x-2y-z+5=0 and x+y+3z=6 is: