The points A, B, C have position vectors 4i + 5j + 6k, 51 + 7j +

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The points A, B, C have position vectors 4i + 5j + 6k, 51 + 7j + 8k, 2i + 6j + 4k, respectively, relative to the origin O. Find a Cartesian equation of the plane ABC.

The point D has position vector 6i + 3j + 6k. Find the coordinates of E, the point of intersection of the line OD with the plane ABC.

Find the acute angle between the line ED and the plane ABC.

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