nachobeargames nachobeargames
  • 22-10-2019
  • Mathematics
contestada

Find the sum of vectors u = <-2, 6> and v = <4, -9>, and then find the magnitude of u + v.

Respuesta :

TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 23-10-2019

Answer:

u + v = <2, -3>

Magnitude: |u+v| = [tex]\sqrt{13}[/tex]

Step-by-step explanation:

If there are 2 vector:

a = <b,c>

and

z = <x,y>

Then a + z is  <b+x,c+y>

Also, the magnitude would be

|a+z| = [tex]\sqrt{(b+x)^2 + (c+y)^2}[/tex]

Now, let find the sum for the problem shown:

u + v = <-2+4, 6 -9>

u + v = <2, -3>

And the magnitude is:

|u+v| = [tex]\sqrt{(2)^2 + (-3)^2}=\sqrt{13}[/tex]

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