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Show that the points P(1, 3, 4), Q(-1, 6, 10), R(-7, 4, 7) and S(-5, 1, 1) are the vertices of a rhombus.

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Show that the points P(1, 3, 4), Q(-1, 6, 10), R(-7, 4, 7) and S(-5, 1, 1) are the vertices of a rhombus.

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Apply distance formula and find the length of each side.

=> PQ = RS =QR = PS

And, diagonals: PR ≠ QS

Hence, points are vertices of a rhombus.

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