If \( \vec{x} \) and \( \vec{y} \) are two non-collinear vectors an...

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If \( \vec{x} \) and \( \vec{y} \) are two non-collinear vectors and \( a, b \)
\( \mathrm{P} \)
W and \( c \) represent the sides of a \( \triangle A B C \) satisfying \( (a-b) \vec{x}+(b-c) \vec{y}+(c-a)(\vec{x} \times \vec{y})=0 \), then \( \triangle A B C \) is (where \( \vec{x} \times \vec{y} \) is perpendicular to the plane of \( \vec{x} \) and \( \vec{y} \)
(1) an acute-angled triangle.
(2) an obtuse-angled triangle
(3) a right-angled triangle
(4) a scalene triangle
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