If \( \vec{x} \) and \( \vec{y} \) are two non-collinear vectors and \( A B C \) is a triangle w...

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If \( \vec{x} \) and \( \vec{y} \) are two non-collinear vectors and \( A B C \) is a triangle with side lengths \( a, b \) and \( c \) satisfying \( (20 a-15 b) \vec{x}+(15 b-12 c) \vec{y}+(12 c-20 a)(\vec{x} \times \vec{y})=\overrightarrow{0} \), then triangle \( A B C \) is
(a) An acute-angled triangle
(b) An obtuse-angled triangle
(c) A right-angled triangle
(d) An isosceles triangle
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