How do I know this point lies on the line in the plane?

  • Thread starter Thread starter shreddinglicks
  • Start date Start date
  • Tags Tags
    Line Plane Point
Click For Summary

Homework Help Overview

The discussion revolves around determining whether a specific point, (6,0,-2), lies on a given line defined by parametric equations in three-dimensional space.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the method of substituting the point into the parametric equations to find matching values of the parameter t. There are questions about the validity of this approach and whether it is the correct method to determine the point's position relative to the line.

Discussion Status

Some participants have attempted the substitution method but report not obtaining matching values for t. This has led to questions about the correctness of their approach and whether the point lies on the line, with some guidance being offered regarding the method itself.

Contextual Notes

There is a lack of consensus on the interpretation of the results, as some participants assert that the point does not lie on the line based on their findings, while others seek confirmation of their methods.

shreddinglicks
Messages
225
Reaction score
7

Homework Statement


This is the point:

(6,0,-2)

Homework Equations


x = 4-2t
y = 3+5t
z = 7+4t

The Attempt at a Solution



Do I just plug in the points and see if I get matching values of t? If not, how do I go about this?
 
Physics news on Phys.org
shreddinglicks said:

Homework Statement


This is the point:

(6,0,-2)

Homework Equations


x = 4-2t
y = 3+5t
z = 7+4t

The Attempt at a Solution



Do I just plug in the points and see if I get matching values of t? If not, how do I go about this?

What is stopping you from just going ahead and trying it out for yourself?
 
I did try it. I'm asking if this is the right way to do this. I do not have any answers for this problem. Can you please tell me if that is the right way to do this?
 
shreddinglicks said:
I did try it. I'm asking if this is the right way to do this. I do not have any answers for this problem. Can you please tell me if that is the right way to do this?

It is the right way to see if the given point lies on the line. What is your answer?

ehild
 
I do not get matching values of t.

t = -1, -3/5, -9/4
 
Last edited:
So the point does not lie on the line?
 
shreddinglicks said:
So the point does not lie on the line?

It does not.

ehild
 
Thanks!
 

Similar threads

Replies
7
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
17
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
8
Views
3K