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aditya.thakar

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 = A_xi^{^}+ A_yj^{^}

A_x= Acos

A_y= Asin

so A = Acos i^{^}+ Asin j^{^}

^_|A|= A²_{x^{+ A}}²_y

_{^{DIRECTION OF A :-}}

^{_= (tan)-1_A}_{y ^{/ A}x}

is the angle between A and +X

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