Planes in 3 space

  • Thread starter mikee
  • Start date
  • #1
mikee
30
0

Homework Statement

hello i just had a quick question, Supose theres a line in three space that is parralel to the xy plane but not any of the axes, what does this indicate about the parametric and symmetric equations in three space.



Homework Equations





The Attempt at a Solution

im not positive on the answer but i was thinking for the parametric equation the direction vector would be perpendicular to the xz and zy plane and the normal vector for the xy plane would be parralel to any of the other planes
 

Answers and Replies

  • #2
rootX
465
4
It confusing because you are using planes to describe the line.

One thing for sure, the direction vector would be (a,b,0)

I think they just want to see that you have 0 for z in the direction vector and
(x-x0)/a = (y-y0)/b = ?
 
  • #3
Defennder
Homework Helper
2,592
5
Yeah, I think it's best you post the question from the book, otherwise we won't know what exactly you're asking for.
 
  • #4
mikee
30
0
Recall that there are three coordinates planes in 3-space. A line in R3 is parallel to xy-plane, but not to any of the axes. Explain what this tells you about parametric and symmetric equations in R3. Support your answer using examples. ok thats the full question
 

Suggested for: Planes in 3 space

  • Last Post
Replies
2
Views
383
Replies
2
Views
231
  • Last Post
Replies
5
Views
253
Replies
23
Views
360
Replies
11
Views
278
  • Last Post
Replies
5
Views
178
  • Last Post
Replies
23
Views
577
Replies
18
Views
435
  • Last Post
Replies
7
Views
1K
Replies
58
Views
910
Top