# Pre Calculus 6.3 - 6.5 formulas

Studied by 4 people
0.0(0)
get a hint
hint

component form

1 / 14

## Tags and Description

### 15 Terms

1

component form

u =
New cards
2

Linear combination

u = Pi + qJ

New cards
3

Polar form

u = ||u||cosθi + ||u||sinθJ

New cards
4

magnitude formula

||u|| = √(P^2 + q^2)

New cards
5

unit vector

(P/||u||i) + (q/||u||J)

New cards
6

Reference angle

tan-1(q/P)

New cards
7

Dot product

u ⋅ v = (u1)(v1) + (u2)(v2)

New cards
8

c(u ⋅ v)

cu ⋅ v or u ⋅ cv

New cards
9

Angle between two vectors

cosθ = (u ⋅ v)/||u|| x ||v||

New cards
10

orthogonal vector

when u ⋅ v = 0 (perpendicular)

New cards
11

Trigonometric form

Z = a + bi

New cards
12

Multiplication of complex numbers

Z1×Z2 = r1×r2(cos(θ1 + θ2) + i sin(θ1 + θ2))

New cards
13

Division of complex numbers

Z1÷Z2 = r1÷r2(cos(θ1 - θ2) + sin(θ1 - θ2))

New cards
14

Exponents of complex numbers

Z^n = r^2(cosnθ + isinnθ)

New cards
15

root of complex numbers

u = r^(1/2)(cos(1/2)(θ +- 2πk) + isin(1/2)(θ +- 2πk))

New cards

## Explore top notes

Note
Studied by 156 people
Updated ... ago
5.0 Stars(2)
Note
Studied by 5 people
Updated ... ago
4.0 Stars(1)
Note
Studied by 39 people
Updated ... ago
5.0 Stars(1)
Note
Studied by 9 people
Updated ... ago
5.0 Stars(1)
Note
Studied by 33 people
Updated ... ago
5.0 Stars(3)
Note
Studied by 4 people
Updated ... ago
5.0 Stars(1)
Note
Studied by 1 person
Updated ... ago
5.0 Stars(1)
Note
Studied by 5377 people
Updated ... ago
4.6 Stars(9)

## Explore top flashcards

Flashcard66 terms
Studied by 17 people
Updated ... ago
4.0 Stars(1)
Flashcard29 terms
Studied by 1 person
Updated ... ago
5.0 Stars(1)
Flashcard36 terms
Studied by 1 person
Updated ... ago
5.0 Stars(1)
Flashcard164 terms
Studied by 3 people
Updated ... ago
5.0 Stars(1)
Flashcard22 terms
Studied by 25 people
Updated ... ago
4.0 Stars(1)
Flashcard32 terms
Studied by 13 people
Updated ... ago
5.0 Stars(1)
Flashcard77 terms
Studied by 10 people
Updated ... ago
5.0 Stars(1)
Flashcard25 terms
Studied by 246 people
Updated ... ago
5.0 Stars(2)