Change format of equation of plane

[ChickenChakuro]

Hi all, I have a plane defined like this:

x = 2 +t
y = 2+t
z = t

How do I put it in the format:
Ax + By + Cz = D?

I feel stupid!

 

[courtrigrad]

So it is the line through (2,2,0) and parallel to the vector v = (1,1,1)

 

[ChickenChakuro]

Why is it not parallel to the vector v = (1,1,1)?

 

[radou]

You may want to investigate this: http://mathworld.wolfram.com/Plane.html" .

 

[HallsofIvy]

Hi all, I have a plane defined like this:

x = 2 +t
y = 2+t
z = t

How do I put it in the format:
Ax + By + Cz = D?

I feel stupid!

Well, feel only a little bit stupid! That's not the equation of a plane! Since x, y, z depend on a single parameter, t, it is the equation of a one-dimensional figure. Since the functions are linear, it is the equation of a line, not a plane.

 

[ChickenChakuro]

Ah ok, thanks for all the help!

 

[ChickenChakuro]

Guess what? Turns out it was a textbook orthographical error. It was supposed to be "line" not "plane." And I was stumped for so long!