AnswersMath 4Add and Subtract Complex Numbers

Add and Subtract Complex Numbers — Quiz Answers

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Consider z sub 1 is equal to 4 minus 4 square root of 3 i and z sub 2 is equal to negative 16 i What is z sub 1 minus z sub 2 ?

A
4 minus 12 square root of 3 i
B
4 plus 4 open paren square root of 3 minus 4 close paren i
C
4 minus 4 open paren square root of 3 minus 4 close paren i
D
4 plus 12 square root of 3 i
3

Which number represents the sum of negative 8 and negative i ?

A
negative 8 i
B
negative 8 minus i
C
8 i
D
negative 8 plus i
4

Consider w is equal to 4 times open paren cosine of open paren pi over 2 close paren plus i sine open paren pi over 2 close paren close paren and z is equal to 3 times open paren cosine of open paren 3 pi over 2 close paren plus i sine open paren 3 pi over 2 close paren close paren What is w plus z expressed in polar form?

A
cosine of open paren pi over 2 close paren plus i sine open paren pi over 2 close paren
B
cosine of pi plus i sine pi
C
cosine of open paren 3 pi over 2 close paren plus i sine open paren 3 pi over 2 close paren
D
cosine of 0 plus sine of 0
5

What is the sum of square root of 3 minus i and 2 minus square root of 3 i ?

A
open paren 2 plus square root of 3 close paren plus open paren 1 minus square root of 3 close paren times i
B
open paren 2 plus square root of 3 close paren minus open paren 1 plus square root of 3 close paren times i
C
open paren 2 plus square root of 3 close paren minus open paren 1 minus square root of 3 close paren times i
D
open paren 2 plus square root of 3 close paren plus open paren 1 plus square root of 3 close paren times i
7

Given z sub 1 is equal to 9 plus 9 square root of 3 i and z sub 2 is equal to 2 plus square root of 3 i , what is z sub 2 minus z sub 1 ?

A
7 plus 10 square root of 3 i
B
negative 7 plus 10 square root of 3 i
C
8 plus 7 square root of 3 i
D
negative 7 minus 8 square root of 3 i
10

Consider w is equal to the fraction with numerator square root of 2 and denominator 2 times open paren cosine of open paren 225 degrees close paren plus i sine open paren 225 degrees close paren close paren and z is equal to 1 times open paren cosine of open paren 60 degrees close paren plus i sine open paren 60 degrees close paren close paren What is w plus z expressed in rectangular form?

A
the fraction with numerator square root of 3 minus 1 and denominator 4 i
B
the fraction with numerator square root of 3 plus 1 and denominator 4 i
C
the fraction with numerator square root of 3 minus 1 and denominator 2 i
D
the fraction with numerator square root of 3 plus 1 and denominator 2 i

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