5. The vertices of parallelogram ABCD are: A(3, -2, 4), B(-2, 0, 5), C(3, -5, -4) & D(x, y, z). a) Determine the coordinates of Point D using your method of choice. b) Determine the area of the parallelogram ABCD. c) Explain how you would prove that ABCD is a parallelogram. d) Determine the area of the AABC.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.CR: Review Exercises
Problem 30CR: In Review Exercise 27 to 30, supply the missing coordinates for the vertices, using as few variables...
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16. The vertices of parallelogram ABCD are: A(3, -2, 4), B(-2, 0, 5), C(3, -5, -4) & D(x, y, z).
a) Determine the coordinates of Point D using your method of choice.
b) Determine the area of the parallelogram ABCD.
c) Explain how you would prove that ABCD is a parallelogram.
d) Determine the area of the AABC.
Transcribed Image Text:16. The vertices of parallelogram ABCD are: A(3, -2, 4), B(-2, 0, 5), C(3, -5, -4) & D(x, y, z). a) Determine the coordinates of Point D using your method of choice. b) Determine the area of the parallelogram ABCD. c) Explain how you would prove that ABCD is a parallelogram. d) Determine the area of the AABC.
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