\( A, B, C, D \) are four points on a plane with position vectors \...

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\( A, B, C, D \) are four points on a plane with position vectors \( \vec{a}, \vec{b}, \vec{c}, \vec{d} \) respectively such that \( (\vec{a}-\vec{d}) \cdot(\vec{b}-\vec{c})=(\vec{b}-\vec{d}) \cdot(c-\vec{a})=0 \). For \( \triangle A B C, D \) is the
W
A Incentre B circum-centre
C ortho-centre
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