Parametric equations

  • #1
141
6

Homework Statement


parametric equations are
x=s+2t
y=2s+3t
z=3s+4t

trying to solve for equation of the plane and then take the coefficients of the equation to get the vector normal to the plane


Homework Equations




The Attempt at a Solution



apparently t=2x-y
and s=2y-3x
and therefore the equation of the plane is x-2y+z=0
but for me solving the first equation for t just gives t=x-s/2
 
Last edited by a moderator:

Answers and Replies

  • #2
34,819
6,559

Homework Statement


parametric equations are
x=s+2t
y=2s+3t
z=3s+4t

trying to solve for equation of the plane and then take the coefficients of the equation to get the vector normal to the plane


Homework Equations




The Attempt at a Solution



apparently t=2x-y
and s=2y-3x
and therefore the equation of the plane is x-2y+z=0
but for me solving the first equation for t just gives t=x-s/2
From your equation of the plane, if it's correct, you can get a normal to the plane by inspection.
 

Related Threads on Parametric equations

  • Last Post
Replies
1
Views
6K
  • Last Post
Replies
3
Views
7K
Replies
3
Views
2K
  • Last Post
Replies
11
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
16
Views
21K
Replies
7
Views
3K
Replies
3
Views
880
  • Last Post
Replies
4
Views
2K
Replies
5
Views
6K
Top