Question
Determine a vector that is parallel to the plane:
x + 2y + 2z - 5 = 0
x + 2y + 2z - 5 = 0
Answers
MathMate
A vector formed by joining any two points that lie in the plane is parallel to the plane.
For example, for the given plane
P: x + 2y + 2z - 5 = 0
A(1,1,1) lies in the P, and
B(5,0,0) lies in the P.
Therefore the vector
BA = (1-5, 1-0, 1-0) = (-4, 1, 1)
is parallel to the given plane.
For example, for the given plane
P: x + 2y + 2z - 5 = 0
A(1,1,1) lies in the P, and
B(5,0,0) lies in the P.
Therefore the vector
BA = (1-5, 1-0, 1-0) = (-4, 1, 1)
is parallel to the given plane.