Q25 of 36 Page 10

If are three vectors, find the area of the parallelogram having diagonals and [CBSE 2014]

Given, and


We need to find area of the parallelogram with vectors and as diagonals.








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



Here, we have (a1, a2, a3) = (1, –3, 2) and (b1, b2, b3) = (–1, 2, 0)






Recall the magnitude of the vector is



Now, we find.






Thus, area of the parallelogram is square units.

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