Review very carefully property $2$ in the Definition of norm $($you might also want to listen carefully to the presenter$),$ then answer the following question:

True$/$False: $\backslash |\backslash$alpha $\backslash$mathbf$\{$v$\}\backslash |=\backslash$alpha $\backslash |\backslash$mathbf$\{$v$\}\backslash |$