Question

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

Answer 1

Answer:

u + v = <2, -3>

Magnitude: |u+v| = $\sqrt{13}$

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| = $\sqrt{(b+x)^2 + (c+y)^2}$

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| = $\sqrt{(2)^2 + (-3)^2}=\sqrt{13}$