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If the figure formed by the four points ...

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

A

rectangle

B

parallelogram

C

trapezium

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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.
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