Vector notation & operations & my proof

Vector is: an ordered finite list of numbers

Each Elements called elements / entries...

*Unit vectors 

 

When you proof something about vector, you should check dimension first and then element-wise.

Remeber how to proof Commutative / Associative / Left and Right distrubutive 

Also Remeber rotation "+" is different compared to calculation rotation "+". The former is VECTOR Addition.

 

New Topic : Linear combination  

Linear combination of unit vectors. Where b is n-vector and b^i is the i-th entry of b, e^i is the i-th unit vector. 

*entry means : element of vector.... 그냥 각 요소에 곱해준다고 생각하면 됨. 

 

New Topic : Inner Product

The result of innter product is "scalar" and total sum of the vector's combination. 

It can applicate by various way.

First, use all of element. Next, use angle 

 

 

Proof 3 Properties 

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