Graph the vectors u = -i + 4j, v = 2i + 2j starting at the point (0, 0). a. Calculate u-v, and represent it starting at the end point of v. It should form a triangle. b. Calculate the lengths of the sides of the triangle. c. Verify that the triangle inequality is satisfied: |v| + |u-v| ≥ |u| + |u|.
Graph the vectors u = -i + 4j, v = 2i + 2j starting at the point (0, 0). a. Calculate u-v, and represent it starting at the end point of v. It should form a triangle. b. Calculate the lengths of the sides of the triangle. c. Verify that the triangle inequality is satisfied: |v| + |u-v| ≥ |u| + |u|.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 13CR
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Graph the
a. Calculate u-v, and represent it starting at the end point of v. It should form a triangle.
b. Calculate the lengths of the sides of the triangle.
c. Verify that the triangle inequality is satisfied: |v| + |u-v| ≥ |u| + |u|.
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