Homework Help - Q&A from Or x ( HW 2 - Canvas - CSU C A colostate.instructure.com/courses/134941/assignments/1674668 # G li Apps M Gmail YouTube % Maps Reading List HW2.pdf & Download @ Info X Close Page 1 > of 2 ZOOM + 1. Consider the following vectors: = (8). .-(8) =-(8). and a= (24) (a) [4 points] Explicitly calculate (1, y). Show your work. (b) [5 points] Give an example of a vector 7 E R' that is orthogonal to both i and y; that is, (7, 1) = 0 and (7, y) = 0. Justify your answer. Bonus I Score 2 extra points if you can give (with justification) a second vector that is orthogonal to both i and y. (c) [4 points] Explicitly calculate ||z]. Show your work. (d) [4 points] Explicitly calculate lu|. Show your work. (e) [4 points] Explicitly calculate ||-52]. Show your work. (f) [6 points] Explicitly calculate the cosine similarity of Z and u. Bonus II Score 2 extra points if you can describe (with justification) the set of every vector in 2 which is orthogonal to both z and u. 2. Assume that p, 7' E R1000 have norms Ilp]| = 2.3 and ||~]| = 5.1. (a) [6 points] Given the known information, is it possible for | |p + ri| = 7.5? Why or why not? (b) [6 points] What is the norm of that is, p scalar multiplied by 1/ Ipl