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How is multiplying 3 - 2i by ia represented on the complex plane?
Drag a term or measure into each box to correctly complete the statements
The complex number 3 - 2i lies in quadrant IV
of the complex plane. When any complex number is multiplied by the
imaginary unit, the complex number undergoes a
90°
rotation in a counterclockwise direction This means that
the complex product of 3 - 2i and 22 lies in
quadrant I
of the complex plane.

How is multiplying 3 - 2i by ia represented on the complex plane? Drag a term or measure into each box to correctly complete the statements The complex number 3 class=

Answer :

shubhamchouhanvrVT

The equation is represented 3 units to the left of the complex plane and 2 units up.

What is complex equation?

A complex equation is an equation that involves complex numbers when solving it. A complex number is a number that has both a real part and an imaginary part.

Well to see how this is represented, we first need to multiply it out so we can see how it looks when it is simplified!

[tex]=(3-2i)(i^2)\\\\\\i^2=-1\\\\\\=(3-2i)(-1)\\\\\\=(-3+2i)[/tex]

We know that on a complex plane, our imaginary numbers are represented on the vertical axis.

So the original expression, (3-2i) would have been 3 units to the right on a complex graph and 2 units downward!

The equation I input above should be pretty straightforward, but one thing I didn't mention was that i^2 should = -1 when dealing with complex numbers!

Therefore, the equation 3-2i * i^2 is equal to -3 + 2i, this is graphed 3 units to the left and to units upward!

To know more about complex numbers follow

https://brainly.com/question/10662770

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