The Complex Number System

Question 1

What does i equal?

Answer 1

Question 2

What is i³

Answer 2

i³ = i² * i¹ = (-1)(i) = -i

Question 3

How do you calculate magnitude from a complex number Z=a + bi ?

Question 4

How do you calculate magnitude from polar form?

Question 5

What is the Z = a + bi on the cartesian graph system?

Question 6

How do you go from complex form to polar form?

Question 7

How do you go from polar form to complex number?

Question 8

How do you find the product of Z₁*Z₂?

Question 9

How do you find the quotient of Z₁ and Z₂?

Question 10

What is DeMoivre’s Theorem? (Finding exp and root of polar form)

Answer 10

or

Question 11

How do you find a vector whose points are (x₁,y₁) & (x₂,y₂)?

Question 12

How do you find the magnitude of a vector? (The length of a vector between two points)

Question 13

How do you find an opposite vector?

Answer 13

Make all opposite values and a and b.

Question 14

How do you find the sum of two vectors?

Question 15

How do you find a parallel vector?

Answer 15

Multiply it by a scalar

Question 16

How do you find a vector going in the opposite direction?

Answer 16

Multiply it by a negative scalar

Question 17

What is the dot product of (a,b) & (d,c)?

Question 18

How do you find the angle of a vector between two vectors AB and CD?

Question 19

How do you find the projection of a value from AB to CD?