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Two Planes Intersecting in a Line

If two planes are not parallel nor coincident, then they must intersect along a line. In this example, the planes are x + 2y + 3z = -4 and x - y - 3z = 8. The dotted line represents the line of intersection of these two planes.

What are the normal vectors of each plane?

How many points of intersection are there between these planes?

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