सिद्ध कीजिए कि
`|{:(0,a,-b),(-a,0,-c),(b,c,0):}|=0.`

|(0,b,-c),(-b,0,a),(c,-a,0)|=

Prove that : |{:(0,a-b,a-c),(b-a,0,b-c),(c-a,c-b,0):}|=0

Prove that : |{:(0,a-b,a-c),(b-a,0,b-c),(c-a,c-b,0):}|=0

Prove that: |[0,a,-b],[-a,0,-c],[ b, c,0]|=0 .

If a,b,c are different and |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 then x=

If /_\=|(0,c,b),(c,0,a),(b,a,0)|, then /_\=

Evaluate |{:(0,c,b),(c,0,a),(b,a,0):}| , hence show that . |{:(0,c,b),(c,0,a),(b,a,0):}|^2=|{:(b^2+c^2," "ab," "ac),(" "ab,c^2+a^2," "bc),(" "ca," "bc,a^2+b^2):}|=4a^2b^2c^2

Without expanding or evaluating show that |(0,b-a, c-a),( a-b,0,c-b),( a-c ,b-c,0)|=0 .

The value of the determinant of A = [(0,a,-b),(-a,0,c),(b,-c,0)] is