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?

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- March 3rd 2010, 12:31 PMmillerstScalar Product
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? - March 3rd 2010, 01:06 PMbigdoggy
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