Question

# Show that the points A(1,2,3), B(−1,−2,−3), C(2,3,2) and D(4,7,3) are the vertices of a parallelogram.

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Solution

## If the given points are vertices of a parallelogram then coordinates of mid point of AC and BD should be equal. (1+22,2+32,3−32)=(−1+42,−2+72,−3+32) (32,52,0)=(32,52,0) Hence, proved.

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