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summary of this topic

Properties of Vector Addition

Properties of Vector Addition

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Understanding Properties of Vector Addition


 »  Vector Addition is addition of real-numbers

    →  individual components on `3` axes are real numbers

    →  the components add independently

    →  properties of vector addition is equivalently that of real-number addition

Properties of vector addition

plain and simple summary

nub

plain and simple summary

nub

dummy

Vector addition is equivalently addition of real-numbers as components.
Properties of vector addition are closely related to the properties of real-number addition.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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


Keep tapping on the content to continue learning.
Starting on learning "Understanding the properties of vector addition". ;; In this page, summary of all the properties of vector addition is explained.

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

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.

Properties of Vector addition:

 •  Closure Property

 •  Commutative Property

 •  Associative Property

 •  Additive identity

 •  Additive Inverse

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

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.



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

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Progress

About you

Progress

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;integer
integers
rational
rational numbers
real
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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