Vector - plane equation

  • #1

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


Thanks Report


Homework Equations





The Attempt at a Solution

 

Attachments

  • DSC_0001~8~2[1].jpg
    DSC_0001~8~2[1].jpg
    150.8 KB · Views: 352
Last edited:

Answers and Replies

  • #2
12,950
6,795
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:
  • #3
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
 
  • #4
ehild
Homework Helper
15,543
1,913
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
 

Attachments

  • vectorsinplane.JPG
    vectorsinplane.JPG
    4.7 KB · Views: 333
  • plane.JPG
    plane.JPG
    13.2 KB · Views: 307
  • #5
ok i can uderstanf it better now .
 

Related Threads on Vector - plane equation

  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
5
Views
1K
Replies
1
Views
96
  • Last Post
Replies
2
Views
724
Replies
2
Views
877
  • Last Post
Replies
1
Views
1K
Replies
6
Views
4K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
1
Views
893
Top