For any two vectors u = (u1,u2), v = (v1,v2) ∈ ℝ^2
<u,v> = 2u1v1 + v1u2
Is this a scalar product of ℝ^2?
I don't understand how to prove or disprove this using the properties?
Can someone help?
Scalar product is simply the components of the two vectors multiplied:
u1v1 + u2v2 and will produce a number.
This page gives a nice overview:
Dot product - Wikipedia, the free encyclopedia