# Vector - plane equation

1. May 26, 2014

### kelvin macks

1. The problem statement, all variables and given/known data

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

Thanks Report

2. Relevant equations

3. The attempt at a solution

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Last edited: May 26, 2014
2. May 26, 2014

### Staff: 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.

Last edited: May 27, 2014
3. May 27, 2014

### kelvin macks

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

4. May 27, 2014

### ehild

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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• ###### plane.JPG
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5. May 27, 2014

### kelvin macks

ok i can uderstanf it better now .