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Equation of Plane Given a Point and Parametric Equations

Find the equation of the plane through the point (1,2,-2) and containing the line x=2t, y=3-t, z=1+3t

Solution Preview

We can rewrite the line x=2t, y=3-t, z=1+3t as

x/2=(y-3)/(-1)=(z-1)/3

i.e.,
x=-2(y-3)
3x=2(z-1)

i.e.,
x+2y-6=0
...

Solution Summary

The equation of a plane given a point and parametric equations. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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