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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
mathsProperties of Vector ArithmeticsProperties of Vector Addition

Commutative Property of Vector Addition

In this page, commutative property of vector addition is explained.

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What does 'commute' mean?commutative property illustration

  • to go to and fro on a regular basis
  • to go to and fro on a regular basis
  • is it an English word?

The answer is 'to go to and fro between two places on a regular basis'.

Vector addition is the addition of components. The components are real numbers. commutative property illustration If the vectors are swapped in a vector addition, will the sum be same?

  • the result will be same
  • the result will be same
  • the result will change

The answer is 'the result will be same'. The real numbers are commutative. The components of vectors are real numbers and so vectors are commutative.

 •  Vectors can be swapped in vector addition - commutative.

Commutative Property of Vector Addition: For any vector `vec a, vec b in bbb V`
`vec a+vec b =vec b + vec a`

Solved Exercise Problem:

Given that `vec p + vec q = 2i-1.2j+.5k`, Which one of the following is `vec q + vec p`?.

  • `.5i-1.2j+2k`
  • `.5i+2j-1.2k`
  • `2i-1.2j+.5k`
  • `2i-1.2j+.5k`
  • `-1.2i+.5j+2k`

The answer is '`2i-1.2j+.5k`', since vector addition is commutative.

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