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User Guide    

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summary of this topic

Properties of Vector Multiplication by Scalar

Properties of Vector Multiplication by Scalar

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 »  magnitude of multiplication of a vector by a scalar is product of magnitudes of scalar and vector
    →  `|lambda vec p |= |lambda| |vec p|`

Magnitude of a scalar multiple of a vector

plain and simple summary

nub

plain and simple summary

nub

dummy

 •  Magnitude of scalar multiple of a vector is product of magnitudes of the scalar and the vector.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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In this page, you will learn how to find the magnitude of a scalar multiple of a vector.


Keep tapping on the content to continue learning.
Starting on learning the property "Magnitude of a scalar multiple of a vector". ;; In this page, you will learn how to find the magnitude of a scalar multiple of a vector.

What is the magnitude of `vec p = ai+bj+ck`?

  • `|vec p|=sqrt(a+b+c)`
  • `|vec p|=sqrt(a^2+b^2+c^2)`
  • `|vec p|=a^2+b^2+c^2`

The answer is '`|vec p|=sqrt(a^2+b^2+c^2)`'

What is the magnitude of `lambda vec p` if `vec p = ai+bj+ck`?

  • `|lambda p| = sqrt((lambda a)^2+(lambda b)^2+(lambda c)^2)`
  • `|lambda p| = sqrt(lambda^2) sqrt(a^2+b^2+c^2)`
  • `|vec p|=|lambda| |vec p|`
  • all the above

The answer is 'All the above'. The options are the steps to prove that `|lambda vec p|=|lambda| |vec p|`

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

Magnitude of Scalar Multiple of Vector: Given scalar `lambda` and vector `vec p`,
`|lambda vec p| = |lambda||vec p|`



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Given `|vec p| = 2`, what is `|-7 vec p|`?

  • `-14`
  • `14`
  • `2`
  • `-7`

The answer is '`14`'. `|-7 vec p| = |-7||vec p| = 7 xx 2`.

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Progress

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Progress

What is the magnitude of vector p = a i + b j + c k?
1
2
3
The answer is "magnitude of vector p = square root a squared + b squared + c squared"
what is the magnitude of lambda times vector p, if vector p = a i + b j + c k ?
1
2
3
4
The answer is "all the above". The options are the steps to prove that magnitude of lambda vector p ; = ; magnitude of lambda multiplied by magnitude of vector p.
Magnitude of scalar multiple of a vector is product of magnitudes of the scalar and the vector.
Magnitude of Scalar Multiple of Vector: Given scalar lambda and vector p, magnitude of lambda vector p ; = ; magnitude of lambda multiplied by magnitude of vector p
Given that magnitude of vector p = 2, what is magnitude of minus 7 times vector p?
1
2
3
4
The answer is "14".

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