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Diagonals of a parallelogram are respre...

Diagonals of a parallelogram are respresented by vectors `vecA = 5hati - 4hatj + 3hatk and vecB = 3hati +2hatj - hatk`. Area of the parallelogram is :

A

`sqrt(171)` units

B

`sqrt(72)` units

C

171 units

D

72 units

Text Solution

Verified by Experts

The correct Answer is:
A
Area of parallelogram `=1/2 |vecp xx vecq|`
`=1/2|(5hati-4hatj+3hatk)xx(3hati+2hatj-hatk)|`
`=1/2 |-2hati+14hatj+22hatk|=sqrt(684)/2 = sqrt(171)` units
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