AABC has vertices at A (-3,-2), B (5,3) and C (5,-2). a. Sketch and label each of the points on a graph. b. Calculate each of the lengths AB. AC, and CB c. Verify that triangle ABC is a right triangle. -10 8 6 4-2 8 6 4 2 -2 -4- 6 8 -10 2 4 6 8 10

AABC has vertices at A (-3,-2), B (5,3) and C (5,-2). a. Sketch and label each of the points on a graph. b. Calculate each of the lengths AB. AC, and CB c. Verify that triangle ABC is a right triangle. -10 8 6 4-2 8 6 4 2 -2 -4- 6 8 -10 2 4 6 8 10

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

Section10.5: Equations Of Lines

Problem 43E

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Question

please write out solutions if possible and solve using vectors

AABC has vertices at A (-3,-2), B (5,3) and C (5,-2).
a. Sketch and label each of the points on a graph.
b. Calculate each of the lengths AB. AC, and CB.
c. Verify that triangle ABC is a right triangle.
-10 8 -6 -4-2
10
8
6
4
2
-2
-4
-6
-8
-10
2 4 6
8 10

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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