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
Lemurs match scent of a friend to sound of her voice
Repeated self-healing now possible in composite materials
'Heartbleed' fix may slow Web performance
Dick is offline
May17-07, 02:59 PM
Sci Advisor
HW Helper
P: 25,161
The plane has two linearly independent 'direction vectors'. Find any two independent vectors perpendicular to your normal.
HallsofIvy is offline
May18-07, 07:44 AM
Sci Advisor
PF Gold
P: 38,879
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: 25,161

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