Finding the normal vector with a given plane and point

  • Thread starter miniake
  • Start date
  • #1
3
0

Homework Statement


Find the vector equation of line in three dimensional space that contains the point
P = (-1,3,0) and is orthogonal to the plane 3x - z = 2.


Homework Equations




The attempt at a solution
can I use the equation of (P-P0)n = 0 , in this question?

Since the only problem is, I don't know how to find the intersection point between the vector and the plane.

Any hints? Thanks.
 

Answers and Replies

  • #2
LCKurtz
Science Advisor
Homework Helper
Insights Author
Gold Member
9,559
770

Homework Statement


Find the vector equation of line in three dimensional space that contains the point
P = (-1,3,0) and is orthogonal to the plane 3x - z = 2.


Homework Equations




The attempt at a solution
can I use the equation of (P-P0)n = 0 , in this question?

Since the only problem is, I don't know how to find the intersection point between the vector and the plane.

Any hints? Thanks.

What two things do you need to know to specify the equation of a line? Do you have or can you get these two things from what you are given?
 

Related Threads on Finding the normal vector with a given plane and point

Replies
7
Views
1K
Replies
1
Views
5K
Replies
4
Views
3K
  • Last Post
Replies
4
Views
8K
Replies
3
Views
2K
Replies
6
Views
2K
  • Last Post
Replies
5
Views
57K
Replies
1
Views
8K
Top