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Gaokao Math Practice Question

设 $\vec{a}$、$\vec{b}$、$\vec{c}$ 是单位向量, 且 $\vec{a} \cdot \vec{b}=0$, 则 $(\vec{a}-\vec{c}) \cdot(\vec{b}-\vec{c})$ 的最小值为 ($\qquad$)

  1. A.-2
  2. B.$\sqrt{2}-2$
  3. C.-1
  4. D.$1-\sqrt{2}$

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