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3.已知向量 $\boldsymbol{a}=(2,3), \boldsymbol{b}=(3,2)$, 则 $|\boldsymbol{a}-\boldsymbol{b}|=$

Gaokao · Math · previous-year question

  1. A.$\sqrt{2}$correct
  2. B.2
  3. C.$5 \sqrt{2}$
  4. D.50

Answer

A. $\sqrt{2}$

Explanation

【详解】由已知, $\boldsymbol{a}-\boldsymbol{b}=(2,3)-(3,2)=(-1,1)$, 所以 $|\boldsymbol{a}-\boldsymbol{b}|=\sqrt{(-1)^{2}+1^{2}}=\sqrt{2}$ ， 故选 A

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