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If the position vectors of A, B, C, D re...

If the position vectors of A, B, C, D respectively are `2bar(i)+4bar(k), 5bar(i)+3sqrt(3)j+4bar(k), -2sqrt(3)bar(j)+bar(k) and 2bar(i)+bar(k)` respectively, then prove that `bar(CD)` is parallel to `bar(AB) and bar(CD)=2/3bar(AB)`.

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