Question

Find an equation of the plane with the given characteristics. the plane passes through the point (1, 3, 7) and is parallel to the yz-plane. g

Answer 1

The normal to the yz-plane is <1,0,0>.
If plane passes through (1,3,7), the equation of the plane is
1(x=1)+0(y-3)+0(z-7)=0
=>
x=1

Answer: the required plane is x=1