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

[shreddinglicks]

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?

 

[Ray Vickson]

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?

 

[shreddinglicks]

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?

 

[ehild]

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

 

[shreddinglicks]

I do not get matching values of t.

t = -1, -3/5, -9/4

 

[shreddinglicks]

So the point does not lie on the line?

 

[ehild]

So the point does not lie on the line?

It does not.

ehild

 

[shreddinglicks]

Thanks!