Find the scalar equation of the plane that contains P and is parallel to the yz-plane

Question

The parametric equations for a line and a plane that intersects at a point P are given below

e={x=4+4t pi={x=1+4s

y=3 y=2+3s+t

z=1 z=3+s+t

Find the scalar equation of the plane that contains P and is parallel to the yz-plane

Answer 1

WE have system: 2 + 3s + t = 3; 3 + s + t = 1; 2s = 3; s = 3/2, t = - 7/2; x = 1 + 6 = 7.

X = 7 is equation of plane passing P and vparallel to yz-plane