.

Inquiry 12.5 ( 42.10) : This inquiry uses Python, and follows the Python notebook on the course website. - Generate 100 real-valued vectors R2, with entries in the range [0,5]. How many pairs are orthogonal? How many have inner product very close to zero? - Generate 100 integer-valued vectors R2, with entries in {0,1,2,3,4,5}. How many pairs are orthogonal? How many would you expect to be orthogonal? - Generalize the previous point to R3