Question

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Answer 1

modulus is basically absolute value, in other word, distance.
so -3-4i looks like this:

Answer 2

for this, use pythagorean theorem

Answer 3

is that clear?

Answer 4

argument for a+bi is \(\tan^{-1}\left( \dfrac{b}{a} \right)\)

Answer 5

yeah, r is modulus

Answer 6

so \(\Large r = \sqrt{3^2+4^2}\)

Answer 7

right!

Answer 8

well, it could be just 3 and 4 because negative sign cancel each other
\(\dfrac{-3}{-4} = \dfrac{3}{4}\)

Answer 9

a would be -3 and b would be -4, yes

Answer 10

yeah.

Answer 11

points for -3 - 4i?

point would be (-3,-4)

Answer 12

point for a+bi is (a,b)