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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.

click on the content to continue..

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`'

slide-show version coming soon