What is the minimum distance between the lines [-1, -3, -2] + s[1, 1, -1] and [-2, 0, 2] +t[-1, 1, -1]?
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Write down an equation for the plane passing through the points [3, 3, -3], [-2, 1, -3], and [3, -3, 2]. For example: x+y+z=1.
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Write down a normal vector to the plane 2x-y-2z = 5. For example, n = [3, 2, 1].
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Let P be the plane passing through the points [2, 1, 0], [0, 2, -1], and [2, 0, 1].
Where does the line [3, 2, 2] + s[3, -2, 1] intersect this plane?