Find the coordiantes of a rectangle using vectors

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I have two coordinates which are vertices of a rectangle. They form the diagonal of the rectangle.

Is it possible, using vectors, to calculate the other two coordinates? I have tried calculating using circles and trig but have failed to find the solution.

Attached is a diagram what I am trying to solve. Any hints or tips would be much appreciated and thank you all in advance.enter image description here

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No. Knowing the two opposite points is not enough to define the rectangle. You know the length of $CD$ matches the length of $AB$ and the midpoints of the two diagonals match, but you can rotate $CD$ around the midpoint and form many rectangles