1. Problem 1 In the following picture on the left, there are two vectors labeled u and v. In the same picture on the right, there are two lengths labeled a, and b. Given that the vectors are u = 5i +j 3k and v = 4i + 4j + 2k, answer the following questions about the lengths a, and b. (a) (Evaluated for mathematical work accuracy and notational neatness) Find the length a, without nding the length I). (b) (Evaluated for mathematical work - accuracy and notational neatness) Now, find the length b. b = (c) (Evaluated for justification and written explanation) Explain a second (different) method that you could have used to find b. You do not have to actually do all of the calculations, but you can include them if you think it clarifies your written explanation