Question

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

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

Answer 1

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

Cross product=
<b>i j k</b>
1 2 -2
-1 3 0

=(2*0-(-2)*3)<b>i</b>
-(1*0-(-2)(-1))<b>j</b>
+(1*3-2(-1))<b>k</b>
=6<b>i</b>-2<b>j</b>+5<b>k</b>

Magnitude
=√(6²+(-2)²+5²)]
=√(65)

Answer 2

thank you!

Answer 3

You're welcome!