https://github.com/jakedaspud/maths2-notes

My .md notes for this one maths exam... [Vectors + Matrices + Functions + Graph Theory]
https://github.com/jakedaspud/maths2-notes

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My .md notes for this one maths exam... [Vectors + Matrices + Functions + Graph Theory]

• Host: GitHub
• URL: https://github.com/jakedaspud/maths2-notes
• Owner: JakeDaSpud
• Created: 2024-01-11T22:31:34.000Z (over 2 years ago)
• Default Branch: main
• Last Pushed: 2024-01-11T23:41:35.000Z (over 2 years ago)
• Last Synced: 2025-03-22T03:24:25.594Z (about 1 year ago)
• Size: 4.88 KB
• Stars: 0
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

          
# Maths2-Notes

My .md notes for this one maths exam...

**INDEX:**

[[Vectors](#vectors)]

[[Matrices](#matrices)]

[[Functions](#functions)]

[[Graph Theory](#graph_theory)]

# ↗️Vectors↗️

**Notes:**

-a- -b- -c- ("a bar, b bar, c bar") is how i write vector notation

^i^ ^j^ ^k^ ("i hat, j hat, k hat") is how i write unit vector notation: **unit vectors define what the size of basic unit / measurement of a vector is (typically 1)**

a:i a:j a:k means the *i*, *j* and *k* properties of vector *a*

**Formulae:**

|-a-| *(magnitude of -a-)*: `sqrt((a:i)^2 + (a:j)^2)`

-a- --> ^a^ *(get unit vector of vector)*: `-a- / |-a-|`

-a-.-b- *(dot product of two vectors)*: `(a:i * b:i) + (a:j * b:j)`

cos(θ) *(get cosine of theta: smallest angle between -a- and -b- in radians)*: `(-a-.-b-) / (|-a-| * |-b-|)`

θ *(get theta: smallest angle between -a- and -b- in radians)*: `arcCos((-a-.-b-) / (|-a-| * |-b-|))`

-a- x -b- *(cross, not multiply: cross gives you the tendency of both vector's directions (if you are using 2D vectors, sub ^k^ in with 0))*: 

| ^i^ | ^j^ | ^k^ |

|---|---|---|

| a:i | a:j | a:k |

| b:i | b:j | b:k |

`result vector ^i^ = (a:j * b:k) - (a:k * b:j)`\

`result vector ^j^ = - ((a:i * b:j) - (a:j * b:i))`\

`result vector ^k^ = (a:i * b:j) - (a:j * b:i)`

# 🔢Matrices🔢

**Notes:**

**Formulae:**

# 🌊Functions🌊

**Notes:**

**Formulae:**

# 🗺️Graph Theory🗺️

**Notes:**

**Formulae:**