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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

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

                            
slide-show version coming soon