1) 3
Subject:MathPrice: Bought3
1) 3. Find the equation of the plane, and write the equation in the specified form. Be sure to define your parameter(s) if applicable.
(a) the plane that has a normal vector ~n = (2, 3, −1) and passes through the point (5, −2, 7) (in scalar form)
(b) the plane that passes through the points A(−2, −3, 1), B(1, 3, 2), and C(−1, 1, 0) (in scalar form)
(c) the plane parallel to the xz-plane and passing through the point (7, −3, 5) (in vector form)
2) Prove by contradiction the following statement:
For any natural numbers ???? and ????, if ???????? − 100 < 99 then either ???? < 15 or ???? < 15.
