Q. 9 B5.0( 1 Vote )

Find the area of the parallelogram whose diagonals are :

and

Answer :

Given two diagonals of a parallelogram are and


Let and


Recall the area of the parallelogram whose diagonals are given by the two vectors and is where



Here, we have (a1, a2, a3) = (2, 0, 1) and (b1, b2, b3) = (1, 1, 1)






Recall the magnitude of the vector is



Now, we find.






Thus, the area of the parallelogram is square units.


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