# Line/plane thing

## Homework Statement

Given some plane, $$3x+2y-z=6$$, and a point $$(2,3,6)$$

Find a line in the plane passing through that point.

## The Attempt at a Solution

I tried finding the vector perpendicular to the plane, $$<3,2,-1>$$, but I'm not sure what to do with it.

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A line passing through two points $\vec{r_0}$ and $\vec{r_1}$ is simply

$$\vec{r}=(1-t)\vec{r_0}+t\vec{r_1}$$

You are given a point that you want the line through and you can figure out another arbitrary one right?

rock.freak667
Homework Helper
I tried finding the vector perpendicular to the plane, $$<3,2,-1>$$, but I'm not sure what to do with it.
You could use this as the direction of the line that you want.

EDIT: Read the question wrong, I thought it asked for a line passing through that point and not necessarily contained in the plane.

Last edited:
HallsofIvy