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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 2−3i and 2.

 

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

Multiplying a complex number by a real number results in a______. The quadrant location of the complex number and its product with a real positive number are the same.

 

 Apr 24, 2020
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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 24, 2020

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