« Reply #15 on: December 12, 2010, 11:00:18 am »
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Yeah agree with what QJP said, you will see that the dot product (or the Euclidean inner product) is just a special case of the inner product on R^n. In fact you can check that the Euclidean inner product satisfies the 4 axioms of an inner product on a real vector space V yourself.
haha this is spech tt not uni maths.... not eveyone has the maths ability of you 
Nah those proofs are a standard first year linear algebra question.
Anyway what you need to show is:
If, u,v,w
V (where V is a vector field) and a,b
 \langle u,v \rangle = \langle v,u \rangle \forall u,v \in V )
 \langle au + bv, w \rangle = a \langle u,w \rangle + b \langle v,w \rangle \forall u,v,w \in V and \forall a,b \in \mathbb{R} )
 \langle u,u \rangle \ge 0 \forall u,v \in V and \langle u,u \rangle = 0 iff u = 0 )
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2008: Finished VCE
2009 - 2011: Bachelor of Science (Mathematical Physics)
2012 - 2014: Master of Science (Applied Mathematics/Mathematical Physics)
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Semester 1:[/b] Engineering Mechanics, Fluid Mechanics, Engineering Risk Analysis, Sustainable Infrastructure Engineering
Semester 2:[/b] Earth Processes for Engineering, Engineering Materials, Structural Theory and Design, Systems Modelling and Design
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