Let P be the plane in R described by the equation 2x - 4y - 3z...

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Let P be the plane in R³ described by the equation 2x - 4y - 3z = 0. Let S be the set {(2, 1, 0), (1,-1,2), (0, 3, -4)). (a) (2 points) Verify that the points (0, 0, 0), (2, 1, 0), (1,-1,2), and (0, 3,-4) belong to the plane P. (b) (3 points) Show that span {(2, 1, 0), (1, -1, 2), (0, 3, -4)} = P. Let P be the plane in R³ described by the equation 2x - 4y - 3z = 0. Let S be the set {(2, 1, 0), (1,-1,2), (0, 3, -4)). (a) (2 points) Verify that the points (0, 0, 0), (2, 1, 0), (1,-1,2), and (0, 3,-4) belong to the plane P. (b) (3 points) Show that span {(2, 1, 0), (1, -1, 2), (0, 3, -4)} = P.