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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, you will learn about the closure property of vector cross product.



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What does 'closure' mean?closure property illustration

  • closed
  • not open
  • both the above
  • both the above

Answer is 'both the above'

What does "span" mean?

  • Full extent of something; all that is included in that
  • Full extent of something; all that is included in that
  • past tense of spin

The answer is 'Full extent of something'

What is the span of vectors in 3D coordinate system?

  • `ai+bj+ck` with `a,b,c in RR`
  • the components of vector taking any real number
  • `RR^3`
  • all the above
  • all the above

The answer is 'All the above'

Vector space `bbb V` consists of all the vectors with real numbers as components.

Is cross product of two vectors be another vector in the vector space?

  • Yes
  • Yes
  • No

The answer is 'Yes'. Cross product of two vectors is another vector.

 •  Cross product of two vectors is another vector - closed.

Closure Property of Cross Product: For any vectors ` vec(a), vec(b) in bbb V`,
` vec(a) xx vec(b) in bbb V`

                            
slide-show version coming soon