Unit vector perpendicular to the plane of the triangle \( A B C \) with position vectors of the ...

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Unit vector perpendicular to the plane of the triangle \( A B C \) with position vectors of the vertices \( A, B, C \) is (where \( \Delta \) is the area of the triangle \( A B C \) ).
(a) \( \frac{(\vec{a} \times \vec{b}+\vec{b} \times \vec{c}+\vec{c} \times \vec{a})}{\Delta} \)
(b) \( \frac{(\vec{a} \times \vec{b}+\vec{b} \times \vec{c}+\vec{c} \times \vec{a})}{2 \Delta} \)
(c) \( \frac{(\vec{a} \times \vec{b}+\vec{b} \times \vec{c}+\vec{c} \times \vec{a})}{4 \Delta} \)
(d) \( \frac{(\vec{a} \times \vec{b}+\vec{c} \times \vec{b}+\vec{c} \times \vec{a})}{3 \Delta} \)
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