(A) Find the parametric equations for the line through the point P = (-2, -1, 0) that is perpendicular to the plane −5x − 5y + 5z = 1.
Use "t" as your variable, t = 0 should correspond to P, and the velocity vector of the line should be the same as the normal vector to the plane found directly from its equation.

x = ???
y = ???
z = ???

(B) At what point Q does this line intersect the yz-plane?

Q = ( ? , ? , ? )

Question

(A) Find the parametric equations for the line through the point P = (-2, -1, 0) that is perpendicular to the plane −5x − 5y + 5z = 1.
Use "t" as your variable, t = 0 should correspond to P, and the velocity vector of the line should be the same as the normal vector to the plane found directly from its equation.

x = ???
y = ???
z = ???

(B) At what point Q does this line intersect the yz-plane?

Q = ( ? , ? , ? )

blockcolder · Answer

The normal vector of ax+by+cz=d is <a,b,c>.
Use this to get the direction of the line whose parametric equation we're looking for.