# Vector - plane equation

## Homework Statement

i cant understand how can the plane is parallel to vector b and vector c .. can you draw me a better diagram. i cant imagine

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## The Attempt at a Solution

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jedishrfu
Mentor
first if you take two lines that aren't parallel and that intersect at some point a then visually you should agree that there is a plane that contains the two lines and the intersection point. right?

well vector b is along the first line and vector c is along the second line and a is the point in the plane.

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first if you take two lines that aren't parallel and that intersect at some point a then visually you should agree that there is palne that contains the two lines and the intersection point. right?

well vector b is along the first line and vector c is along the second line and a is the point in the plane.

i can only imagine and say vector b and vextor c contain in the same plane. why both vector are parallel to the plane? i cant understand

ehild
Homework Helper
b and c are vectors lying on the the plane. Take a sheet of paper, draw two vectors on it, like b and c in the first figure.
Lift the paper. It is a piece of a plane (second figure). Choose a point as origin somewhere outside the plane (O), and connect it to A, B, C. ##\vec {OA}##, ##\vec {OB}##, ##\vec {OC}## are the position vectors pointing to A, B, C, points of the plane .

ehild

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ok i can uderstanf it better now .