Question
Show that the points:
P (-1,-6, 10), Q (1, -3, 4), R (-5, -1, 1) and S (-7, -4, 7) are the vertices of a rhombus.
Solution
Using distance formula, we have
...(i)
...(ii)
...(iii)
...(iv)
From (i), (ii), (iii) and (iv), PQ = QR = RS = SP
Hence, PQRS is a rhombus.
...(ii)
...(iii)
...(iv)
From (i), (ii), (iii) and (iv), PQ = QR = RS = SP
Hence, PQRS is a rhombus.