Suppose you are given that uv are orthogonal vectors in R100

Suppose you are given that u,v are orthogonal vectors in R100 and that

||u||=6 and ||v||=5

compute 2u+5v and u-3v

find the angle between the two vectors

Solution

2u+5v = 37,

u-3v = -9,

so the angle between the two vectors would be 180. because one value is positive and another is negative.