In a right-angled \( \triangle A B C \), the hypotenuse \( A B=p \)...

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In a right-angled \( \triangle A B C \), the hypotenuse \( A B=p \),
P then \( \overrightarrow{\mathrm{AB}} \cdot \overrightarrow{\mathrm{AC}}+\overrightarrow{\mathrm{BC}} \cdot \overrightarrow{\mathrm{BA}}+\overrightarrow{\mathrm{CA}} \cdot \overrightarrow{\mathrm{CB}} \) equals

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(1) \( 2 p^{2} \)
(2) \( \mathrm{p}^{2} \)
(3) \( \mathrm{p}^{2} / 2 \)
(4) None of these
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