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Hello, just a quick question.

I have two complex numbers (say z and z'), and I want to find the area of the parallelogram that is generated by the two complex numbers (written as vectors, ie, if z = x + iy is a complex number, then the vector is (x,y)).

Now the area of the parallelogram generated by z and z' is |z x z'|

However, when I compute z x z' I get what I would consider a "scalar" and then I am asked to take the "magnitude" (or is it "absolute value") of this "scalar." Do I just take the "absolute value"?

For example.

say z = 1 + i, and z' = 1 + 2i

then z x z' = (1)(2) - (1)(1) = 2 - 1 = 1.

The area is |z x z'| = |1|. Is this the absolute value of 1 (which would equal 1) ?

Thanks.

I have two complex numbers (say z and z'), and I want to find the area of the parallelogram that is generated by the two complex numbers (written as vectors, ie, if z = x + iy is a complex number, then the vector is (x,y)).

Now the area of the parallelogram generated by z and z' is |z x z'|

However, when I compute z x z' I get what I would consider a "scalar" and then I am asked to take the "magnitude" (or is it "absolute value") of this "scalar." Do I just take the "absolute value"?

For example.

say z = 1 + i, and z' = 1 + 2i

then z x z' = (1)(2) - (1)(1) = 2 - 1 = 1.

The area is |z x z'| = |1|. Is this the absolute value of 1 (which would equal 1) ?

Thanks.

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