Complex Numbers and Their Operations

The video tutorial explains how to divide two complex numbers by identifying their modulus and argument. It covers the process of multiplying complex numbers, which involves scaling the modulus and rotating the argument. The tutorial then demonstrates dividing the modulus and adjusting the argument to find the quotient. The final result is expressed in terms of cosine and sine, and the calculation is completed with a conclusion.

What is the first step in dividing two complex numbers?

• Subtract their arguments

• Add their arguments

• Divide their moduli

• Multiply their moduli

What is the modulus of w1?

• 2

• 4

• 8

• 16

What is the argument of w2 in radians?

• 4π/3

• 7π/6

• π/3

• π/2

When multiplying complex numbers, what happens to their arguments?

• They are added

• They are divided

• They are subtracted

• They remain unchanged

How do you find the modulus of the quotient w1/w2?

• Multiply the moduli

• Divide the moduli

• Subtract the arguments

• Add the arguments

What is the result of 4π/3 - 7π/6?

• π/6

• π

• π/2

• π/3

What is the modulus of the quotient w1/w2?

• 6

• 8

• 4

• 2

What is the cosine of π/6?

• 1/2

• √3/2

• 1

• √2/2

What is the sine of π/6?

• 1

• √3/2

• 1/2

• √2/2

What is the final form of the quotient w1/w2?

• 2 + 2i

• 2√3 + 2i

• 4 + 4i

• 4√3 + 4i