- #1

Karnage1993

- 133

- 1

## Homework Statement

Find a path [itex]\gamma (t)[/itex] representing the triangle (1, 0, 0) to (0, 2, 0) to (0, 0, 3) to (1, 0, 0)

## Homework Equations

None

## The Attempt at a Solution

Well I followed the steps on how to get an equation of a plane that contains the 3 vertices and I got [itex]6x + 3y + 2z - 6 = 0[/itex].

Solving for z, I have [itex]z = 3 - (3/2)y - 3x[/itex] so the path along the triangle can be represented as:

[itex]f(x,y) = (x, y, 3 - 3x - (3/2)y)[/itex]

But this is not a function of t. How do I make it only a function of t? Do I set both x and y = t so that [itex]\gamma (t) = (t, t, 3 - 3t - (3/2)t)[/itex]?