Find the equation of the plane which passes through `(1,2,4) and (3,-4,5)` and is parallel to x-axis.

Find the equation of the plane which passes through the points (3,4,1) and (0,1,0) and parallel to the line (x+3)/2=(y-3)/7=(z-2)/5

Prove that the equation of the plane which passes through the point (2,-3,5) and which is parallel to the yz-plane is x=2 .

Prove that the equation of the plane which passes through the point (2,-3,5) and which is parallel to the yz-plane is x= 2.

Find the equation of the plane which passes through the points (1,2,3),(2,3,1) and (3,1,2)

Find the equation of the line which passes through (1,2,-4) and (4,-5,2) both in cartesian and vector form.

Find the equation of the plane through the points (2, 3, 1) and (4, -5, 3) and parallel to the x-axis.

Find the equation of the plane which passes through the point (2,1,4) and is prependicular to each of the planes 9x-7y+6z+48=0 and x+y-z=0

Find the equation of the plane passing through the points (3,1,1), (1-2,3) and parallel to y-axis.

Find the equation of the plane passing through the points (3,4,1) and (0,1,0) and parallel to the line (x+3)/(2)=(y-3)/(7)=(z-2)/(5) .

Find the equation of the plane which passes through the point (2,1,-1) and is orthogonal to each of the planes x-y+z=1 and 3x+4y-2z=0 .