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Thought-Process to Discover Knowledge

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nub is the simple explanation of the concept.

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summary of this topic

Properties of Vector Addition

Properties of Vector Addition

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 »  vector addition is closed.

Closure Property of Vector Addition

plain and simple summary

nub

plain and simple summary

nub

dummy

 •  Sum or difference 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, Closure property of vector addition is explained.


Keep tapping on the content to continue learning.
Starting on learning "Closure Property of Vector Addition". ;; In this page, Closure property of vector addition is explained.

What does 'closure' mean?closure property illustration

  • closed
  • not open
  • both the above

Answer is 'both the above'

Integer addition has closure property. It means that, if any two integers are added, the result will be within the integer set of numbers. Is it correct?closure property illustration

  • Yes, the result has to be within
  • No, the result has to be outside

Answer is 'Result has to be within' the set of integers.

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

Is sum of two vectors be another vector in the vector space?

  • Yes
  • No

The answer is 'Yes'. Sum of two real-numbers is a real number. Since vector addition is addition of real-numbers as components, sum of vectors is a vector.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Closure Property of Vector Addition: For any vectors ` vec(a), vec(b) in bbb V`,
` vec(a)+vec(b) in bbb V`



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

your progress details

Progress

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What does 'closure' mean?
closed
closed
not;open
not open
both;above
both the above
Answer is 'both the above'
Integer addition has closure property. It means that, if any two integers are added, the result will be within the integer set of numbers. Is it correct?
yes;s;within
Yes, the result has to be within
no;outside
No, the result has to be outside
Answer is 'Result has to be within' the set of integers.
Vector space V consists of all the vectors with real numbers as components. Is sum of two vectors be another vector in the vector space?
yes;s
Yes
no
No
The answer is 'Yes'. Sum of two real-numbers is a real number. Since vector addition is addition of real-numbers as components, sum of vectors is a vector.
Sum or difference of two vectors is another vector - closed.
Closure Property of Vector Addition: For any vectors ; vector a and vector b in the vector space V, ;; vector a plus vector b is in vector space v.

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