# Plane through a point and parallel to two vectors

There exists exactly one plane parallel to a given pair of non-colinear vectors and passing through a given point.
You can explore that fact in the applet below.
You can control points A, B, C, P either in the edit fields or with a mouse. If you click on a point, four horizontal or two vertical arrows are displayed to indicate whether the point is in the horizontal shift or the vertical shift mode.

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