Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

The figure formed by four points i+j+k, 2i+3j, 3i+5j-2k, k-j is a?

1) parallelogram

2) rectangle

3) trapezium

4) square

Answer: (3) Trapezium

Solution: Suppose,

PQ = i+2j+k

QR = i+2j-2k

RS = -3i-6j+3k

SP = i+2j-2k

As we can see here,

QR = SP

And QR ||SP

Whereas PQ in not parallel to RS

Therefore, the figure PQRS is a trapezium

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