If \( \mathrm{E} \) is a point on side \( \mathrm{CA} \) of an equilateral \( \triangle \mathrm{...

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If \( \mathrm{E} \) is a point on side \( \mathrm{CA} \) of an equilateral \( \triangle \mathrm{ABC} \) such that \( \mathrm{BE} \perp \mathrm{CA} \), then \( \mathrm{AB}^{2}+\mathrm{BC}^{2}+\mathrm{CA}^{2}= \)
a. \( 2 \mathrm{BE}^{2} \)
b. \( 3 \mathrm{BE}^{2} \)
c. \( 4 \mathrm{BE}^{2} \)
d. \( \frac{4}{3} \mathrm{BE}^{2} \)
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