If \( \vec{a}=\vec{b}+\vec{c} \), then is it true that \( |\vec{a}|...

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If \( \vec{a}=\vec{b}+\vec{c} \), then is it true that \( |\vec{a}|=|\vec{b}|+|\vec{c}| \) ? Justify your answer.
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