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Using the property of determinants and w...

Using the property of determinants and without expanding in questions 1 to 7 prove that ,
`|{:(a-b,b-c,c-a),(b-c,c-a,a-b),(c-a,a-b,b-c):}|=0`

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To prove that the determinant \[ D = \begin{vmatrix} a-b & b-c & c-a \\ b-c & c-a & a-b \\ c-a & a-b & b-c \end{vmatrix} = 0 ...
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