Multiply and Divide Complex Numbers

Question 1

Drag the point A to the location indicated in each scenario to complete each statement.

Revolt · Accepted Answer

quadrant III

Question 2

Drag the point A to the location indicated in each scenario to complete each statement.

Revolt · Accepted Answer

quadrant II

Question 3

Drag the point A to the location indicated in each scenario to complete each statement.

Revolt · Accepted Answer

quadrant I

Question 4

z1 is scaled by a factor of and then rotated degrees clockwise.

Revolt · Accepted Answer

1/3

Question 5

z1 is scaled by a factor of and then rotated degrees clockwise.

Revolt · Accepted Answer

10

Question 6

Answer:

Revolt · Accepted Answer

-2

Question 7

Let z = 3 + 2i and w = 4 + i. What best describes the geometric construction of the product z times w on the complex plane?

Revolt · Accepted Answer

z is stretched by a factor of and rotated 14° counterclockwise

Question 8

The product is (cos(°) + i sin(°)).

Revolt · Accepted Answer

10

Question 9

Which of the following is true regarding the quotient of ? Check all that apply.The real part of the quotient is 5.The real part of the quotient is –5.The imaginary part of the quotient is 1.The imaginary part of the quotient is –1.The quotient is located in quadrant I.The quotient is located in quadrant IV.

Revolt · Accepted Answer

The real part of the quotient is 5.; The imaginary part of the quotient is –1.; The quotient is located in quadrant IV.

Question 10

Let z = 3(cos(15°) + i sin(15°)) and w = 5(cos(90°) + i sin(90°)). What best describes the geometric construction of the quotient on the complex plane?

Revolt · Accepted Answer

z is scaled by a factor of and rotated 90 degrees clockwise.

Multiply and Divide Complex Numbers Answers

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