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summary of this topic

Properties of Vector Addition

Properties of Vector Addition

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 »  vector addition is associative.

Associative Property of Vector Addition

plain and simple summary

nub

plain and simple summary

nub

dummy

 •  Order of addition can be changed - associative.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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In this page, associative property of vector addition is explained.


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

What does 'Associate' mean?Associative property illustration

  • to connect with; to join
  • not to connect

The answer is 'to connect with; to join'

When three vectors are added,
 •  Person A associates the middle vector with first vector and, to the result of that, he adds the third vector `(vec a + vec b) + vec c`
 •  Person B associates the middle vector with third vector and to that she adds the first vector `vec a + (vec b + vec c)`Associative property illustration Will the two persons get different results?

  • They will get different results
  • They will get identical results

The answer is 'They will get identical results'. Considering that the components of vectors are real numbers, the order of additions does not change the result of addition.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Associative Property of Vector Addition: Any vectors `vec a, vec b, vec c in bbb V`,
`(vec a+vec b)+vec c`
`quad quad = vec a + (vec b + vec c)`



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Which of the following equals `vec x + vec y + vec x`?

  • `vec x + vec y`
  • `vec x + vec x + vec y`
  • `vec y + vec x`
  • `vec y + vec y + vec x`

The answer is '`vec x + vec x + vec y`'

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What does 'Associate' mean?
with;join
to connect with; to join
not
not to connect
The answer is 'to connect with; to join'
When three vectors are added, ;; Person A associates the middle vector with first vector and, to the result of that, he adds the third vector ; vector a plus vector b ;; plus vector c ;; Person B associates the middle vector with third vector and to that she adds the first vector; vector a + ;; (vector b + vector c) ;; Will the two persons get different results?
different
They will get different results
identical
They will get identical results
The answer is 'They will get identical results'. Considering that the components of vectors are real numbers, the order of additions does not change the result of addition.
Order of addition can be changed - associative.
Associative Property of Vector Addition: Any vectors ; vector a , vector b, vector c in vector space v ;; vector a plus vector b ;; plus vector c ; = vector a ;; plus vector b plus vector c
Which of the following equals vector x plus vector y + vector x ?
1
2
3
4
The answer is "vector x plus vector x plus vector y"

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