Vector Additional Rules

• Vector addition rules are a set of guidelines for combining vectors (mathematical objects with both magnitude and direction). 
• These rules help make sure that when you add vectors, the result is consistent and easy to understand. 
• Some of the main rules are:

Commutative Law: 

• This states that you can change the order of the vectors being added and the result will be the same. 
• This can be expressed mathematically as
• a + b = b + a.

Associative Law: 

• This states that you can regroup the vectors being added and the result will still be the same. 
• This can be expressed mathematically as
• (a + b) + c = a + (b + c).

Distributive Law: 

• This states that you can distribute a scalar (a single number) across a vector addition and the result will be the same as if you added the scalar to each vector separately and then added the vectors together. 
• This can be expressed mathematically as 
• k(a + b) = ka + kb.