Find the value of : `|(1,a, b+c),(1 , b, c+a),(1,c,a+b)|`

Similar Questions

Explore conceptually related problems

Find the value of : |(1/a,a^2,bc),(1/b,b^2,ca),(1/c,c^2,ab)|

Factorise : |(1,a,bc),(1,b,ca),(1,c,ab)|

Find the value of : |(b+c,a,a),(b,c+a,b),(c,c,a+b)|

Without expanding at any stage, find the value of |(0,a,-b),(-a,0,c),(b,-c,0)| .

Without expanding show that : |(1,a,a^2-bc),(1,b,b^2-ca),(1,c,c^2-ab)|=0

Without expanding show that : |(a,b+c,1),(b,c+a,1),(c,a+b,1)|=0

What is the value of following determinant ? |(a-b, b-c, c-a),(b-c, c-a, a-b),(c-a, a-b, b-c)|

Without expanding show that : |(1,bc,bc(b+c)),(1,ca,ca(c+a)),(1,ab,ab(a+b))|=0

Without expanding show that : |(1,a,a^2),(1,b,b^2),(1,c,c^2)|=|(1,bc,b+c),(1,ca,c+a),(1,ab,a+b)|

The area formed by A(a,b+c) ,B(b,c+a) and C(c,a+b) is