Question: Vectors t = 5 i + 2 j , u = 3 i + 7 j , and v = 8 i + 20 j

Vectors t = 5i + 2j, u = 3i + 7j, and v = 8i + 20j are given. Part A: Find the angle between vectors t and u. Show all necessary calculations. (5 points) Part B: Choose a value for c, such that c > 1. Find w = cv. Show all necessary work. (2 points) Part C: Use the dot product to determine if t and w are parallel, orthogonal, or neither. Justify your answer. (3 points)

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