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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

Magnitude Property of Vector Addition

In this page, relation between magnitude of vectors and the magnitude of sum of the vectors is explained.

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Triangular law of vector addition states that the “Two vectors form a triangle with the sum as the third side of the triangle”.magnitude property of vector addition Using the results learned in geometry: Sum of length of any two sides of a triangle is, which of the following?

  • greater than the third side
  • greater than the third side
  • equal to the third side
  • less than the third side

The answer is 'Greater than the third side'. It is noted that the length of sides of the triangle are magnitudes of the vectors.

 •  magnitude of sum is less than or equal to sum of magnitudes - Magnitude property of Addition.

Magnitude property: For any vector `vec a, vec b in bbb V`
`|vec a+vec b|<=|vec a|+|vec b|`

Solved Exercise Problem:

Given that the magnitudes of two collinear vectors are `2.4` and `4.2`, what would be the magnitude of the sum of the two vectors?

  • `=6.6`
  • `=6.6`
  • `!=6.6`
  • `<=6.6`
  • `>=6.6`

The answer is '`=6.6`'. The vectors are collinear and so, the vectors are in the same direction. In that case, the sum of magnitude equals magnitude of sum.

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