If the figure formed by the four points `hati+hatj-hatk,2hati+3hatj,3hati+5hatj-2hatk and hatk-hatj` is

Options

A. rectangle
B. parallelogram
C. trapezium
D. none of these

Answer

C

Explanation

Let `A-=(1,1,-1),B-=(2,3,0),C-=(3,5,-2) and D-=(0,-1,1)`
So, `AB=(1,2,1),BC=(1,2,-2),CD=(-3,-6,3)`
and `DA=(1,2,-2)`
Clearly, `BC||DA` but AB in not parallel to CD.
So, it is a trapezium.