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# 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 (a_{1}, a_{2}, a_{3}) = (2, 0, 1) and (b_{1}, b_{2}, b_{3}) = (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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