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If A=(0,1)B=(1,0),C=(1,2),D=(2,1) , prov...

If `A=(0,1)B=(1,0),C=(1,2),D=(2,1)` , prove that ` vec A B= vec C Ddot`

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Here, `AB=(1-0)hati+(0-1)hatj=hati-hatj`
and `CD=(2-1)hati+(1-2)hatj=hati-hatj`
clearly, AB=CD Hence proved.
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