## Definition, Cummutative and Associative Laws

The sum of two vectors, written**C**=

**A**+

**B**, is defined as the vector that results from following vector

**A**to its head and then placing vector

**B**'s tail at the head of

**A**and following it in turn.

In Cartesian coordinates, this sum is particularly straightforward:

- C

_{x}= A

_{x}+ B

_{x}

C_{y} = A_{y} + B_{y}

C_{z} = A_{z} + B_{z}

Vector addition is commutative and associative: the order of addition is generally irrelevant:

**A**+

**B**=

**B**+

**A**(

**A**+

**B**)+

**C**=

**A**+ (

**B**+

**C**)

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