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Mathematics20251 markShort answerVectorsTool: 3D geometry and vectors calculator

Answer the following.

If |a⃗| = 1, |b⃗| = 2, |c⃗| = 3 and a⃗ + b⃗ + c⃗ = 0, then verify a⃗, b⃗, c⃗ are NOT mutually…

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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$\vec{a}\cdot\vec{b} + \vec{b}\cdot\vec{c} + \vec{c}\cdot\vec{a} = -7$ i.e. $\neq 0$. Hence $\vec{a}, \vec{b}, \vec{c}$ are not mutually perpendicular.