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

Options

A. `sqrt(171) "units"`
B. `sqrt(72) "units"`
C. `sqrt(72) "units"`
D. 72 units

Answer

A

Explanation

Area `=(1)/(2)|vecA xx vecB|" "vecA xx vecB=|{:(hati,hatj,hatk),(5,-4,3),(3,2,-1):}|`
`" "=13" "= - 2hati + 14 hatj + 2hatk`
No. option.