[问答题]
The position vectors of the p
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$\text { Given that } \mathbf{a} \text { is perpendicular to } \overrightarrow{\mathrm{BC}} \text { and } \mathbf{b} \text { is perpendicular to } \overrightarrow{\mathrm{CA}} \text {, prove that } \mathbf{c} \text { is perpendicular to } \overrightarrow{\mathrm{AB}} \text {. }$