- #1

- 169

- 0

## Homework Statement

I am given a line that passes through the points (x

_{0}, y

_{0}, z

_{0}) and (x`,y`,z`) and a plane in 3D space being defined by these three nonlinear points (x

_{1}, y

_{1}, z

_{1}), (x

_{2}, y

_{2}, z

_{2}), (x

_{3}, y

_{3}, z

_{3}).

Im directed to use cramers rule to find the intersection of the line and plane. Applying cramer's rule should be fairly straight forward once I get to the equations I need.

## Homework Equations

x = x

_{0}+ (x` - x

_{0})t

x= x

_{1}+ (x

_{2}- x

_{1})u + (x

_{3}- x

_{1})v

## The Attempt at a Solution

[/B]

What I think I need is a system of 3 equations to apply cramers rule and find the intersection point.

My three variables are t,u and v. so I think I would need 3 equations with 3 variables each. Im not sure what to do with the terms that have no unknown variable but just a value or "known" variable.

Any hints towards the right direction?

Thank you!