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15. Recall that given any vector v, we can calculate its length, |v|. Also, we say that two vectors that are scalar multiples of one

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15. Recall that given any vector v, we can calculate its length, |v|. Also, we say that two vectors that are scalar multiples of one another are parallel. a. Let v = (3, 4) in R2. Compute | v), and determine the components of the vector u = V v. What is the magnitude of the vector u? How does its direction compare to v? b. Let w = 3i - 3j in R2. Determine a unit vector u in the same direction as W. c. Let v = (2,3, 5) in R3. Compute |v), and determine the components of the vector u = V. What is the magnitude of the vector u? How does its direction compare to v? d. Let v be an arbitrary nonzero vector in R . Write a general formula for a unit vector that is parallel to v

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