I don't know any other way other than the pure maths way:
http://en.wikipedia.org/wiki/Line-plane_intersection

Of course that deals with and infinite plane and an infinite line, if you
are looking for the intersection of a line segment and a confined plane, you
would have to verify if the hypothetical point of intersection, if it
exists, lies within the sets of points of each object.

You could also look up ray casting methods/algorithms to test if an infinite
line collides with any of the plane's faces. I'm not sure if any part of
Away3D currently implements this, or even if the methods are made externally
accessible if existing.

Hope it helps,
Li

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