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Show that |(1,1,1),(x,y,z),(x^(2),y^(2),...

Show that `|(1,1,1),(x,y,z),(x^(2),y^(2),z^(2))|=(x-y)(y-z)(z-x)`

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The correct Answer is:
`-25 = vec(a) . vec(b) + vec(b) . vec(c) + vec(c) . vec(a)`
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