State True or False for the statements. If \( |\vec{a}+\vec{b}|=|\v...

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State True or False for the statements.
If \( |\vec{a}+\vec{b}|=|\vec{a}-\vec{b}| \), then the vectors \( \vec{a} \) and \( \vec{b} \) are orthogonal.
\( \mathrm{P} \)
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