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Thought-Process to Discover Knowledge

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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.

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User Guide   

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User Guide   

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nubtrek is designed to explain mathematics and science for young readers. Every topic consists of four sections.

  nub,

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User Guide    

nub is the simple explanation of the concept.

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summary of this topic

Properties of Cross Product

Properties of Cross Product

Voice  

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 »  vector cross product is closed
    →  `vec p xx vec q in bbb V`

Cross Product : Closure Property

plain and simple summary

nub

plain and simple summary

nub

dummy

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

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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


Keep tapping on the content to continue learning.
Starting on learning "closure property of cross product". ;; In this page, you will learn about the closure property of vector cross product.

What does 'closure' mean?closure property illustration

  • closed
  • not open
  • both the above

Answer is 'both the above'

What does "span" mean?

  • 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

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
  • No

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

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

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



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

your progress details

Progress

About you

Progress

What does 'closure' mean?
closed
closed
not;open
not open
both;above
both the above
Answer is 'both the above'
What does "span" mean?
full;extent;something
Full extent of something; all that is included in that
past;tense;spin
past tense of spin
The answer is 'Full extent of something'
What is the span of vectors in 3D coordinate system?
1
2
3
4
The answer is 'All the above'
Vector space 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;s
Yes
no
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 a, b in vector space v ;; vector a cross vector b is a vector in v.

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