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Unit 1 summary and formula sheet of mathematical specialist

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Unit 1 summary and formula sheet of mathematical specialist, includes - combinatorics - vectors - proofs - circle geometry - vector geometry

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Written for

Institution
Secondary school
Course
School year
5

Document information

Uploaded on
September 9, 2023
Number of pages
4
Written in
2023/2024
Type
Summary

Subjects

Content preview

combi
Tn g n z 2.1 factorial
permutations whereordermatters
npr nip
r n 7 combinatorics selection whereorderdoesn'tmatter
r n y

pascals rule 1 21
here
n
Cry r 363
pigenhole principle
if nel objects are placed in n holes then some hole contains atleast 2
objects

inclusion exclusionprinciple
number of outcomes
total of outcomes

vectors
magnitude and direction

4 Iit yj component form

tut Tty magnitude of vector

a Ha a s unit vector

u r O 7 polar form
magnitude
I I it angle that u makes with in direction anticlockwise
converting to polar form
r Tty Cosa f or sino
f
converting from polar form
rcosoitrsinj
a b a b az bz scalar product
a b tall b cos o o 11 11

1050 magnitude of angle between two vectors
faith 91411,9

U vector resolute
off b s



u scalar resolute
gb
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