First slide

Introduction to 3-D Geometry

Question

The figure formed by the points A(5, -1, 1), B(7,-4,7), C(1,-6, 10) and D(-1, -3,4) is

Moderate

A

square
B

rhombus
C

rectangle
D

None of these

Solution

Here AB = BC = CD = DA=7 .
$Also, A C = \sqrt{16 + 25 + 81} = \sqrt{122}$
$and BD = \sqrt{64 + 1 + 9} = \sqrt{74}$
Thus, points are vertices of rhombus.

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