Complex Numbers: Modulus and Argument

The video tutorial explains how to multiply two complex numbers by understanding their modulus and argument. It begins with an introduction to the problem, followed by a detailed explanation of the modulus and argument of each complex number. The process of multiplying these numbers is demonstrated, including how to calculate the resulting modulus and argument. Finally, the product is simplified to its final form, resulting in a complex number expressed as 6i.

What is the initial task given in the video?

• To find the quotient of two complex numbers

• To find the sum of two complex numbers

• To find the difference between two complex numbers

• To find the product of two complex numbers

What is the modulus of the first complex number?

• 120

• 330

• 3

• 2

What is the argument of the first complex number?

• 120 degrees

• 90 degrees

• 450 degrees

• 330 degrees

What is the modulus of the second complex number?

• 2

• 3

• 330

• 120

What is the argument of the second complex number?

• 120 degrees

• 90 degrees

• 330 degrees

• 450 degrees

How do you find the modulus of the product of two complex numbers?

• Add the moduli

• Subtract the moduli

• Multiply the moduli

• Divide the moduli

Tags

CCSS.HSN.CN.B.4

What is the resulting argument after adding the arguments of the two complex numbers?

• 450 degrees

• 90 degrees

• 120 degrees

• 330 degrees

Tags

CCSS.HSN.CN.A.1

What is the simplified argument of the product within 0 to 360 degrees?

• 330 degrees

• 90 degrees

• 120 degrees

• 450 degrees

Tags

CCSS.HSF.TF.A.2

What is the cosine of 90 degrees?

• 0.5

• 1

• 0

• -1

Tags

CCSS.HSN.CN.A.2

What is the final result of the product of the two complex numbers?

• 6

• 6i

• 3i

• 2i

Tags

CCSS.HSN.CN.A.2