MathGeometry

Find a Plane Containing a Line and Parallel to Another Line

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Question

The skew lines are L₁: x=t, y=t+2, z=3−t and L₂: x=s−1, y=2s−1, z=2s. Find an equation of a plane containing L₁ and parallel to L₂.

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Evidence boundary

Both line equations and their skew relationship come from the stated Millersville example. The answer applies to this version; a single line alone would leave infinitely many possible planes.