$\newcommand{\norm}[1]{\lVert#1\rVert}$I want to show that $\norm{e_i v_i} \leq \norm v$.
But applying the triangle inequality yields $\norm{v}. \leq \norm{v-e_i v_i}+ \norm{e_i v_i} $which doesn't really help.
Tips appreciated. thanks
2026-04-08 07:57:23.1775635043
Show that the norm of the component of a vector is smaller than the norm of the vector
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