1. \(\left|\begin{array}{cc}a+i b & c+i d \\-c+i d & a-i b\end{array}\right|\)
2. If \(\left|\begin{array}{ccc}a-b-c & 2 a & 2 a \\2 b & b-c-a & 2 b \\2 c & 2 c & c-a-b\end{array}\right|\) = k (a + b + c)³ then k is
3. \(\left|\begin{array}{lll}a+1 & a+2 & a+4 \\a+3 & a+5 & a+8 \\a+7 & a+10 & a+14\end{array}\right|\) =
4. \(\left|\begin{array}{lll}b-c & c-a & a-b \\c-a & a-b & b-c \\a-b & b-c & c-a\end{array}\right|\) =
5. The value of the determinant \(\left|\begin{array}{ccc}\alpha & \beta & \gamma \\\alpha^{2} & \beta^{2} &\gamma^{2} \\\beta+\gamma & \gamma+\alpha & \alpha+\beta\end{array}\right|\)