If there is vectors, $ v_1,v_2,...$ .
They are linearly independent if $c_1v_1+c_2v_2+... = 0$ with $c_1=c_2=...=0$.
if $v_1,v_2,...$ are linerly independent and so what?
what will the linear independence of vectors lead to? Base?
Do linear independence has any connection to dot product or orthogonality?
what will happen if they are not linearly independent?