Vectors t = 3i + 7j, u = 2i − 5j, and v = −21i + 9j are given.Part A: Find the angle between vectors t and u. Show all necessary calculations. Part B: Choose a value for c, such that c > 1. Find w = cv. Show all necessary work.Part C: Use the dot product to determine if t and w are parallel, orthogonal, or neither. Justify your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 14E
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Vectors t = 3i + 7ju = 2i − 5j, and v = −21i + 9j are given.

Part A: Find the angle between vectors t and u. Show all necessary calculations.

Part B: Choose a value for c, such that c > 1. Find w = cv. Show all necessary work.

Part C: Use the dot product to determine if t and w are parallel, orthogonal, or neither. Justify your answer.

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