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## Homework Statement

I have 2 parametric equations of 2 lines. I want to find if there is a plane that contains both, if any, and find the equation.

## Homework Equations

## The Attempt at a Solution

so just thinking about it, I figure that a plane would contain both lines only if they intersect. Is that right?

if so, my second problem is finding the equation of the said plane. So for both the lines, do I plug in any value of t in the parametric equations to find 2 vectors, take the cross product to find a normal and use that for my equation?