The position vectors of the points A, B, C, D are 2š’Š + 4š’‹ + 2š’Œ, š’Š + 2š’‹ + š’Œ, 4š’Š + 3š’‹ āˆ’ 2š’Œ, 3š’Š + š’‹ āˆ’ 3š’Œ. Show that AB is parallel to CD and that ABCD is a parallelogram.

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