Question

if im being truthful, I dont even know where to begin. So if someone could explain the steps ?

Answer 1

Do you know any of it?

Answer 2

So here is how the complex plane works
drawing:

So I gave the location of 3-2i, so you should be able to figure out the quadrant

Answer 3

quadrant IV

Answer 4

Yes

Answer 5

yeah

Answer 6

then the last one would be quad ii ?

Answer 7

Because if you think about it this way:
3-2i(i^2) = 3i^2 - 2i^3
-3 - -i
= -3+i

Answer 8

So that is why multiplying by i^2 would result in 180 degrees

Answer 9

So yes the last one is quadrant 2

Answer 10

ohh okay yes that makes sense! thank you for your help!

Answer 11

it seems like the answer was 90 degrees:/

Answer 12

could you explain why it could have been 90?

Answer 13

?

Answer 14

multiplying by i^2 is 90 degrees?

Answer 15

Oh no @jennylove you read the problem wrong. For the second one it was saying when a complex number is multiplied by an imaginary unit (ex i) then it would undergoe 90 degrees rotation

Answer 16

in this case because it is i^2 it is 180 degrees rotation

Answer 17

the second part was asking if it is multiplied by imaginary unit such as i not i^2

Answer 18

oh no!! I see the mistake!

Answer 19

Yeah, sorry I didn't catch that in the problem. I kinda read it as if it is multiplied by i^2 as in this case not an imaginary unit