We know that,a + b + c = 0= a × (a + b + c) = 0= a × a × a × b + a × c = 0= a × b = a × c = c × a                ----(1)Similarly, b × (a + b + c) = 0= b × c = a × b                           ----(2)Now, if we use both (1) and (2), then we will geta × b = b × c = c × a