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The area of parallelogram whose diagonal...

The area of parallelogram whose diagonals coincide with the following pair of vectors is `5sqrt(3)`. The vectors are

A

` 3hati + 2hati -hatk ,3hati -hatj+4hatk`

B

` 3/2hati +1/2hatj -hatk , 2hati -6hatj +8hatk`

C

` 3hati + hatj -2hatk,hati + 3hatj +4hatk`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
If `veca , vecb` are diagonals of a parallelogram, then its area is `1/2 |veca xx vecb|`
Clearly, ` 1/2 |veca xx vecb|= 5sqrt3` is sattisfied by the pair of vectors given in option (b) `
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