[,0,b^(2)a,c^(2)a],[,a^(2)b,0,c^(2)b],[a^(2)c,b^(2)c,0]|" Find the value of "

|(0,ab^(2),ac^(2)),(a^(2)b,0,bc^(2)),(a^(2)c,b^(2)c,0)|=

If a+b+c=0 and a^(2)+b^(2)+c^(2)=16, find the value of ab+bc+ca

If =det[[abc,b^(2)c,c^(2)babc,c^(2)a,ca^(2)abc,c^(2)a,ca^(2)abc,a^(2)b,b^(2)a]]=0,(a,b,c in R) and a+b+c,=0a+b+c,=0

Prove: |(0,b^2a, c^2a),( a^2b,0,c^2b),( a^2c, b^2c,0)|=2a^3b^3c^3

Prove: |(0,b^2a, c^2a),( a^2b,0,c^2b),( a^2c, b^2c,0)|=2a^3b^3c^3

If a,b,c and A,B,C in R-{0} such that aA+bB+cD+ sqrt((a^(2)+b^(2)+c^(2))(A^(2)+B^(2)+C^(2)))=0 , then value of (aB)/(bA) +(bC)/(cB) + (cA)/(aC) is

If a,b,c and A,B,C inR-{0} such that aA+bB+cC+sqrt((a^(2)+b^(2)+c^(2))(A^(2)+B^(2)+C^(2)))=0 , then value of (aB)/(bA)+(bC)/(cB)+(cA)/(aC) is

If a,b,c and A,B,C in R-{0} such that aA+bB+cD+ sqrt((a^(2)+b^(2)+c^(2))(A^(2)+B^(2)+C^(2)))=0 , then value of (aB)/(bA) +(bC)/(cB) + (cA)/(aC) is

If a,b,c and A,B,C in R-{0} such that aA+bB+cC-sqrt((a^(2)+b^(2)+c^(2))(A^(2)+B^(2)+C^(2)))=0 , then value of (aB)/(bA) +(bC)/(cB) + (cA)/(aC) is