IDNLearn.com provides a user-friendly platform for finding and sharing accurate answers. Ask any question and receive accurate, in-depth responses from our dedicated team of experts.
Every vector space is an abelian group under addition. It's an axiom
[tex]V =\{ x = ( x_{1} ,x_{2} ,x_{3}) | x_{i}∈K\}[/tex]
[tex]V\times V→V ,( x_{1} ,x_{2} ,x_{3})+( y_{1} ,y_{2} ,y_{3})=( x_{1} +y_{1},x_{2}+y_{2},x_{3}+y_{3}) [/tex]