Mathematics, 14.06.2020 00:57, jpsaad00

For the entirety of this problem, let A=(1,5,1)A=(1,5,1), B=(7,8,3)B=(7,8,3), and C=(-2,4,1)C=(−2,4,1). a) (9 points) Find the area of triangle ABCABC. b) (5 points) Find the equation of the plane containing triangle ABCABC. Write your answer in the form ax+by+cz=dax+by+cz=d. c) (9 points) Determine the acute angle made by the plane you found in part (b) and the xzxz-plane. You may leave your answer in terms of an inverse trig functions.

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For the entirety of this problem, let A=(1,5,1)A=(1,5,1), B=(7,8,3)B=(7,8,3), and C=(-2,4,1)C=(−2,4,...