2. On the plane \( x y \), there are three points : \( A(3,4), B(2,2), C(6,0) \). Fill in the following blanks with the correct answers.
(1) The coordinates of the center of a circle on which points, \( A, B \), and \( C \) are located, are \( \mathrm{f} \) \( \square \)
\( \square \) (2.) ), and the radius of this circle is \( \square \) ?n
\( \square \) (2) The scalar product of two vectors \( \overline{B . A} \cdot \overline{B C}= \) 1. \( \square \)
(3) \( \angle A B C= \) \( \square \) a
(4) The distance from point \( B \) to the straight line \( A C \) is \( \square \) .
(5) When point \( E \) is the intersection of bisector of \( \angle A B C \) and side \( A C \). then \( A L: L C=1 \) \( \square \) 1.
(6) \( \overline{B I}= \) \( \square \) \( \overrightarrow{B A}+ \) \( \square \) \( \triangle \overrightarrow{B C} \).