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If A (x1,y1) , B(x2,y2) and C (x3,y3) ar...

If A `(x_1,y_1) , B(x_2,y_2) and C (x_3,y_3)` are vertices of an equilateral triangle whose each side is equal to a unit , then prove that,
`|{:(x_1,y_1,2),(x_2,y_2,2), (x_3,y_3,2):}|^2=3a^4`

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The correct Answer is:
`|{:(x_1,y_1,2),(x_2,y_2,2),(x_3,y_3,2):}|^2=3a^4`
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