The vertices of the triangle are \( A(5,4,6), B(1,-1,3) \) and \( C(4,3,2) \). The internal bise...

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The vertices of the triangle are \( A(5,4,6), B(1,-1,3) \) and \( C(4,3,2) \). The internal bisector of angle \( A \) meets \( B C \) at \( D \). Find the coordinates of \( D \) and the length \( A D \).
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