From very Basic
1) R=A+B
2) |A+B| 
|A|+|B| 3) A-B = A+(-B)
4) |R| = |A+B| = 
A2+B2+2ABcos
5) |A-B| = A2+B2-2ABcos 6) If the angle between A and B is 900 then
|A+B|=|A-B|
7) ADDITION LAW:-
A + B = B + A
A+(B+C) = (A+B)+C
8) SUBTRACTION LAW:-
A + B 
B + A
A+(B+C) (A+B)+C
9) UNIT VECTOR:-
u^A = A
__
|A|
so A = A u^A
|i^|=|j^|=|k^|=1
10) COMPONENTS OF VECTOR IN TWO DIMENTION:-
A = Axi^ + Ayj^
Ax = Acos Ay = Asin so A = Acos i^ + Asin j^ |A| = A2x + A2y DIRECTION OF A :-
= (tan)-1 Ay / Ax is the angle between A and +X
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