The number of like terms in `a b c , -a b c, -b c a, a c b, b a c, 12 c a b` is 

The value of Delta = |(b -c,c -a,a -b),(c -a,a -b,b -c),(a -b,b -c,c -a)| is

The number of terms in the expansion if (a+b+c)^(12) is

|[b+c, a, a], [b, c+a, b], [c, c, a+b]|=?

|[a-b, b-c, c-a], [b-c, c-a, a-b], [c-a, a-b, b-c]|=?

If the determinant |(b -c,c -a,a -b),(b' -c',c' -a',a' -b'),(b'' -c'',c'' -a'',a'' - b'')| is expressible an m |(a,b,c),(a',b',c'),(a'',b'',c'')| , then the value of m, is

If a + b + c = 0 , then find the value of ( ( a + b ) / c + ( b + c )/a + ( c + a ) / b ) times ( a /( b + c ) + b /( c + a ) + c /( a + b ) ) is :

If a, b and c are real numbers, then the value of the determinant |(1-a,a-b-c,b+c),(1-b,b-c-a,c+a),(1-c,c-a-b,a+b)| is

a,b,c are three numbers such that the average of a and b is 4, that of b and c is 5 and that of a and c is 12. The average of all the three numbers is :