Question

Let (u,v) be the weighted Euclidean inner product of R^2 defined by (u,v) = 3u1v1+2u2v2 and consider vectors u=(2,-3) and v=(1,4)
compute the distance between u & v

Answer 1

\[(u,v) = 3u _{1}v _{1}+2u _{2}v _{2}\]

Answer 2

interesting, what is the definition of distance here, norm?

Answer 3

yes

Answer 4

I actually know that the answer is \[\sqrt{101}\]I just don't know how

Answer 5

we have to define a distance

Answer 6

I don't understand how to do the u-v part though...