What is the relationship between a vector and a plane in terms of parallelism?

[kelvin macks]

Homework Statement

i can't understand how can the plane is parallel to vector b and vector c .. can you draw me a better diagram. i can't imagine


Thanks Report

Homework Equations

The Attempt at a Solution

 

[jedishrfu]

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.

 

[kelvin macks]

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 can't understand

 

[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

 

[kelvin macks]

ok i can uderstanf it better now .