JedrielW357574 JedrielW357574
  • 26-10-2022
  • Mathematics
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Find the magnitude and direction angle of the vector v. (Round the direction angle to one decimal place.)v = −10i + 16j

Find the magnitude and direction angle of the vector v Round the direction angle to one decimal placev 10i 16j class=

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CainenP144419 CainenP144419
  • 26-10-2022

giving the vector

V=-10i + 16j

then

the magnitude of the vector is giving by the hypotenuse

then

[tex]Mag=\sqrt{16^2+10^2}[/tex][tex]Mag=2\sqrt{89}=18.867[/tex]

the direction angle is giving by

[tex]tan(\theta)=\frac{Opp}{Adj}[/tex][tex]tan(\theta)=\frac{16}{10}[/tex][tex]\theta=arctan(1.6)[/tex][tex]\theta=arctan(1.6)=57.99\degree[/tex]

rounded to one decimal place

then the direction is 58.0

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