- 30

- 0

**1. Homework Statement**

Determine vector and parametric equations for the plane containing the point A(2, 3, -1) and parallel to the plane with equation (x, y, z) = (2, 1, -3) + s(5, 2, -1) + t(3, -2, 4). Show your work.

**2. Homework Equations**

Vector and parametric

This a strange equation that I have never seen before because it has 2 parameters: s and t

**3. The Attempt at a Solution**

I got the parametric equation for the x, y,z equation

x=2+5s+3t

y=1+2s-2t

z=-3-t+4t

Am I supposed to find the direction vector? In one of my notes is says that the direction vector is perpendicular to the plane's normal vector but I don't know if it applies here?