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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, vector additive identity is explained.



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What does 'identical' mean?

  • same; similar; alike
  • same; similar; alike
  • different; mismatch

The answer is 'same; similar; alike'

Consider the vector `vec 0 = 0i+0j+0k`. What will be the result of adding that with another vector `vec a`?

  • `-vec a`
  • `|vec a|`
  • `0i+0j+0k`
  • same as `vec a`
  • same as `vec a`

The answer is 'same as `vec a`'. The sum is identical to the vector being added.

The vector `vec 0 = 0i+0j+0k` is also known as .....

 •  null or zero vector - Additive Identity.

Additive Identity: For any vector `vec a in bbb V` there exists a `vec 0 in bbb V` such that
`vec a+vec 0=vec a`

Solved Exercise Problem:

Consider `vec p = 220i+310j-12i+15j`. What will be the sum `vec p + vec 0`?

  • `vec p`
  • `vec p`
  • `503ij`
  • `232i+325j`
  • `-208i-325j`

The answer is '`vec p`'

                            
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