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]