Find parametric question for the plane

by bonbon
Tags: parametric, plane
bonbon is offline
May17-07, 12:35 PM
P: 5
1. The problem statement, all variables and given/known data
Give parametric questions for the plane : 2x-3y+z-6=0

3. The attempt at a solution

i know that the normal is (2,-3,1)
how do i find the direction vector of the plane?
Phys.Org News Partner Science news on
Cougars' diverse diet helped them survive the Pleistocene mass extinction
Cyber risks can cause disruption on scale of 2008 crisis, study says
Mantis shrimp stronger than airplanes
Dick is offline
May17-07, 02:59 PM
Sci Advisor
HW Helper
P: 25,174
The plane has two linearly independent 'direction vectors'. Find any two independent vectors perpendicular to your normal.
HallsofIvy is online now
May18-07, 07:44 AM
Sci Advisor
PF Gold
P: 38,895
Dick is assuming that by 'direction vector', you mean two independent vectors in the plane. I've only seen the term used with lines.

I wonder if you are not confusing this with "find the parametric equations for a line". To do that you would find 'direction vector' for the line. Parametric equations for a plane will involve two parameters. Here, since you can write z as a function of x and y, z= 6- 2x+ 3y, you can use x and y themselves as parameters or, if you prefer distinct variables, x= u, y= w, z= 6- 2u+3w.

Dick is offline
May18-07, 07:48 AM
Sci Advisor
HW Helper
P: 25,174

Find parametric question for the plane

That's a much more direct way. I was fixated on the 'direction vector' (basis) picture.

Register to reply

Related Discussions
Proton hits infinite charged plane, find charge of plane Introductory Physics Homework 1
Parametric Representation of a Plane Calculus & Beyond Homework 6
parametric equation of a line and a plane Calculus 1
Find plane, given a line & perpendicular plane Calculus & Beyond Homework 2
How to find out equation of a plane intersecting with other ? Calculus 2