MzCherBear
Answered

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Find the magnitude of this
vector:

Find The Magnitude Of This Vector class=

Sagot :

Akandz

Answer: = 25. 5 m

Explanation:

  • 2-D vectors can be solved using the Pythagorean theorem:  
  • [tex]a^{2} +b^{2} =c^{2}[/tex]
  • The hypotenuse, or longest side is not given and that is what must be solved for
  • Direction can be omitted as the question only asks for magnitude
  • Magnitude: is the distance or quantity in which an object moves during motion

Solve for C using Pythagorean theorem:

1. [tex]\sqrt{a^{2}+b^{2} }=c[/tex]

2.  [tex]\sqrt{22.2 m ^{2} +12.6m^{2} } =c[/tex]

3. [tex]25.52646 m= c[/tex]

  • round to lowest number of significant digits  when dividing and multiplying
  • rounded to 3 significant digits

∴ Magnitude of the vector is 25.5 m

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