# Calc 3

Describe the locus of points in R3 equidistant from the origin (0, 0, 0), and
the plane x + y + z = 1.

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1. A parabola is the locus of points equidistant from a point and a line.

If you rotate it around its axis of symmetry, you get a surface with points equidistant from a point and a plane: a paraboloid.

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posted by Steve

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