Given points determine plane as parallel

[jwxie]

Homework Statement

Identify the plane as parallel to the xy, xz and yz plane and sketch a graph

Homework Equations

The Attempt at a Solution

I want to show you how I come up with these answers. Please click on the video (2 mins).

It's a youtube link.



After watching the video please tell me whether my method is valid.

I will provide more example to verify:

#1 y = -4 xz plane
#2 z = -3 xy plane
#3 x = 3 xz plane

The followings are something I thought about... I don't know if the questions will support these extensions:

<2,0,3> xz plane <0,2,3> yz plane
<3,-2,1> xy plane

Do you guys agree?

 

[mrbohn1]

I'm not sure that I completely understand the question.

If you fix an x coordinate, then the resulting points form a plane parallel to the yz-plane. Simlarly if you fix a y coordinate, the resulting plane is parallel to the xz-plane, etc.

Does this help?

 

[jwxie]

Thank you mrohn1. Before I answer your question, I would like to claify something.

Does the question (Identify...) always supports given situations like <2,0,3>, or it only works with a fixed line such as x = 2, z = 3, y = -1.

Thank you.

 

[mrbohn1]

Sorry...I'm not sure what you mean. Is <2,0,3> a point? Are you being asked what planes this point lies on?

 

[jwxie]

Sorry...I'm not sure what you mean. Is <2,0,3> a point? Are you being asked what planes this point lies on?

What I want to know is whether the same question can be apply to situation such as a vector <-1,2,1>. I believe z = -3 can be treated as vector <0,0,-3>.