oneway4life14 oneway4life14
  • 25-05-2022
  • Mathematics
contestada

Find the magnitude of the sum of the vectors <4,5> and <-2,2>. Round your answer to the nearest 100th.

Respuesta :

goddessboi goddessboi
  • 25-05-2022

Answer:

[tex]||v||\approx7.28[/tex]

Step-by-step explanation:

Sum of the vectors

[tex]\langle4,5\rangle+\langle-2,2\rangle=\langle4+(-2),5+2\rangle=\langle2,7\rangle[/tex]

Magnitude of the resultant vector

[tex]||v||=\sqrt{x^2+y^2}=\sqrt{2^2+7^2}=\sqrt{4+49}=\sqrt{53}\approx7.28[/tex]

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