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summary of this topic

Properties of Vector Addition

Properties of Vector Addition

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 »  magnitude of sum of two vectors is less than or equal to sum of magnitudes of the vectors.

Magnitude Property of Vector Addition

plain and simple summary

nub

plain and simple summary

nub

dummy

 •  magnitude of sum is less than or equal to sum of magnitudes - Magnitude property of Addition.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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In this page, relation between magnitude of vectors and the magnitude of sum of the vectors is explained.


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Starting on learning "Magnitude Property of Vector Addition". ;; In this page, relation between magnitude of vectors and the magnitude of sum of the vectors is explained.

Triangular law of vector addition states that the “Two vectors form a triangle with the sum as the third side of the triangle”.magnitude property of vector addition Using the results learned in geometry: Sum of length of any two sides of a triangle is ....

  • greater than the third side
  • equal to the third side
  • less than the third side

The answer is 'Greater than the third side'. It is noted that the length of sides of the triangle are magnitudes of the vectors.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Magnitude property: For any vector `vec a, vec b in bbb V`
`|vec a+vec b|<=|vec a|+|vec b|`



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Given that the magnitudes of two collinear vectors are `2.4` and `4.2`, what would be the magnitude of the sum of the two vectors?

  • `=6.6`
  • `!=6.6`
  • `<=6.6`
  • `>=6.6`

The answer is '`=6.6`'. The vectors are collinear and so, the vectors are in the same direction. In that case, the sum of magnitude equals magnitude of sum.

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Progress

Triangular law of vector addition states that the “Two vectors form a triangle with the sum as the third side of the triangle. Using the results learned in geometry: Sum of length of any two sides of a triangle is ...
greater
greater than the third side
equal
equal to the third side
less
less than the third side
The answer is 'Greater than the third side'. It is noted that the length of sides of the triangle are magnitudes of the vectors.
magnitude of sum is less than or equal to sum of magnitudes - Magnitude property of Addition.
Magnitude property: For any vectors, vector a, vector b in vector space V, magnitude of vector a plus vector b , less than or equal to , magnitude of vector a plus magnitude of vector b.
Given that the magnitudes of two collinear vectors are 2 point 4 and 4 point 2, what would be the magnitude of the sum of the two vectors?
1
2
3
4
The answer is "= 6 point 6". The vectors are collinear and so, the vectors are in the same direction. In that case, the sum of magnitude equals magnitude of sum.

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