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. (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)
