If A B=A C, then should B and C be equal? - Vidyadip

Question

If $\vec{A} \cdot \vec{B}=\vec{A} \cdot \vec{C}$, then should $\vec{B}$ and $\vec{C}$ be equal?

✓

Answer

Generally not, but if angle between $\vec{A}$ and $\vec{B}$ is equal to angle between $\vec{A}$ and $\vec{C}$ then $\vec{B}=\vec{C}$

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