Let `a , b`and `c` detnote the sides `BC,CA `and`AB` respectively of triangle` ABC`. If `|[1,a, b],[1,c, a],[1,b ,c]|=0`. find the value of `sin^2A+sin^2B+sin^2C`

Explanation

To solve the problem, we start with the given determinant:

\[
\left| \begin{array}{ccc}
1 & a & b \\
1 & c & a \\
1 & b & c \\
\end{array} \right| = 0
...