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If , , and , then verify are NOT mutually perpendicular.
If $|\vec{a}| = 1$, $|\vec{b}| = 2$, $|\vec{c}| = 3$ and $\vec{a} + \vec{b} + \vec{c} = 0$, then verify $\vec{a}, \vec{b}, \vec{c}$ are NOT mutually perpendicular.
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From ISC 2025 Practice Mathematics, question 61.