Asked by Anonymous

Determine a vector that is parallel to the plane:
x + 2y + 2z - 5 = 0

Answers

Answered by 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.
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