Shorthand

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<x, y> : vector (x, y)
(x, y) : vector (x, y)
A_1 : A subscript 1
A-> : vector 'A'
->(A) : vector 'A'
|A| : Magnitude = sqrt(a_1^2+a_2^2) which is the euclidean distance from the origin (0,0)
|A| (A in italics) : det() : determinant
cos(a) : cosine of angle a
A . B : A and B Dot Product
A * B : A and B Multiplication
90* : 90 degrees
@ : angle
pi = 180 degrees = 3.14
_|_ : orthogonality symbol
|u| : |unit vector|
set() has same notation as magnitude, | | , but has multiple rows.
A' : A' prime (modification of original A, not first derivative of A unless otherwise stated)
a_^ : symbolic variable 'a'

NOTE: if someone can help convert the notes to better formatting that would be appreciated! I prefer latex formatting unless someone knows of a better one.

If there is something confusing about the notation leave a comment on this page

Links to help format equations in Latex are:
https://oeis.org/wiki/List_of_LaTeX_mathematical_symbols
https://www.overleaf.com/learn/latex/Subscripts_and_superscripts