Write the value of the following determinant `|(a-b,b-c,c-a),(b-c,c-a,a-b),(c-a,a-b,b-c)|`

Write the value of the following determinant abs{:(a-b, b-c, c-a),(b-c, c-a, a-b),(c-a, a-b, b-c):} .

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)|

Write the value of the following determinant det[[b-b,b-c,c-ab-c,c-a,a-bc-a,a-b,b-c]]

Evaluate the following determinants: [[a-b,b-c,c-a],[b-c,c-a,a-b],[c-a,a-b,b-c]]

If a+b+c=4 and ab+bc+ca=0 , then what is the value of the following determinant? |(a, b, c),(b, c, a),(c, a, b)|

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

Write the value of the determinant |(0,a-b,a-c), (b-a, 0, b-c),(c-a, c-b, 0)|

What is the value of the determinant |{:(a-b,b+c,a),(b-c,c+a,b),(c-a,a+b,c):}| ?