Home > Matrix & Vector > Vector Operation > Magnitude of a vector / length of a vector example

5. Magnitude of a vector / length of a vector example ( Enter your problem )
  1. Example-1
  2. Example-2

1. Example-1





1. Find |A|
`A=(1,2,2)`


Solution:
Here `vec A=(1,2,2)`

`|vec A|`

`=sqrt(A_1^2 + A_2^2 + A_3^2)`

`=sqrt(1^2 + 2^2 + 2^2)`

`=sqrt(1 + 4 + 4)`

`=sqrt(9)`

`=3`
2. Find |A|
`A=(3,4)`


Solution:
Here `vec A=(3,4),vec B=(4,3),vec C=(3,4)`


`|vec A|`

`=sqrt(A_1^2 + A_2^2)`

`=sqrt(3^2 + 4^2)`

`=sqrt(9 + 16)`

`=sqrt(25)`

`=5`




This material is intended as a summary. Use your textbook for detail explanation.
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