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How is the product of a complex number and a real number represented on the complex plane?

Consider the product of 2−4i and 3.

Drag a value or phrase into each ----------- to correctly complete the statements.

 

The complex number 2−4i has modulus of -------------. When 2−4i is multiplied by 3, the modulus of the product is ----------------.

Multiplying a complex number by a real number results in a scalar of the complex number. The quadrant location of the complex number and its product with a real positive number -----------------.

 

 

Are opposite each other

sqrt 6

3 sqrt 6

differ by a clockwise rotation of 270 degrees

differ by a counter clockwise rotation of 270 degrees

are the same

6 sqrt 5

2 sqrt 5

6 sqrt 2

2 sqrt 2

 Apr 22, 2021
 #1
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sqrt [2^2 +(-3)^2] =sqrt13

 

2(2-3i)= 4 -6i       sqrt[ 4^2 +6^2] = sqrt 52 = 2 sqrt13

 

scalar

 Apr 22, 2021
 #2
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that question was already answered by someone 

Guest Apr 22, 2021

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