Consider vectors u = (4, 1) and V = (-1, 3). a. Find the linear combination W = 2u - 3v. b. Find the unit vector in the opposite direction of vector Proju(v). (no need for simplification) c. Find cos(theta) where theta is the angle between u and v. (no need to find theta itslef; finding cos(theta) suffices.)

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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2. Consider vectors u = (4, 1) and V = (-1, 3). a. Find the linear combination W = 2u - 3v. b. Find the unit vector in the opposite direction of vector Proju(v). (no need for simplification) c. Find cos(theta) where theta is the angle between u and v. (no need to find theta itslef; finding cos(theta) suffices.)

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