__maths__>__Properties of Vector Arithmetics__>__Properties of Vector Addition__### Properties of vector addition

In this page, summary of all the properties of vector addition is explained.

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Vectors are quantities with magnitude and direction. It is mathematically represented as components along 3 axes.

What numbers are used as components of vectors?

- integers
- rational numbers
- real numbers
- real numbers

Answer is 'real numbers'.

Vector addition is addition of individual components respectively. Since the components are real-numbers, Vector addition is equivalently real-number addition in multiple dimensions. It does not involve any trigonometric or other such manipulations.

Vector addition is equivalently addition of real-numbers as components.

Properties of vector addition are closely related to the properties of real-number addition.

**Vector addition as addition of Real Numbers: ** Vector addition is equivalently addition of components that are real numbers.

Properties of vector addition is understood by applying the properties of real-number addition on the components.

Properties of Vector addition:

• Closure Property

• Commutative Property

• Associative Property

• Additive identity

• Additive Inverse

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