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If the position vectors of the points A,...

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

Text Solution

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The correct Answer is:
`(2)/(3)vec(AB)`
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