Calculate the area of the parallelogram with sides consisting of the vectors:

a = (1,2,-2)
b = (-1,3,0)

3 answers

Area of parallelogram formed by two vectors is the magnitude of the cross product.

Cross product=
i j k
1 2 -2
-1 3 0

=(2*0-(-2)*3)i
-(1*0-(-2)(-1))j
+(1*3-2(-1))k
=6i-2j+5k

Magnitude
=√(6²+(-2)²+5²)]
=√(65)
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