Question: 5. (25 points) Consider the plane P containing the points P(2, 2, 1), Q(3, 2, 0) and R(-1, -1, 1). (a) Find the vectors a

5. (25 points) Consider the plane P containing the points P(2, 2, 1), Q(3, 2, 0) and R(-1, -1, 1). (a) Find the vectors a = PQ and b = PR. (b) Find a normal vector to the plane P. And a = axb (c) Find the equation of the plane P. (d) Find the distance from the point Po(4, 2, 1) to the plane P. (e) Find the angle between the vectors a and b you found in part (a). CTS onin - -)

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