Given vectors u = ⟨3,−2⟩ and v = ⟨1,7⟩, find the sum u + v and write the result in component form.

Question

Given vectors u = ⟨3,−2⟩ and v = ⟨1,7⟩, find the sum u + v and write the result in component form.

Answer 1

To add vectors you add the corresponding components. <x1,y1> + <x2,y2> = <x1+x2,y1+y2>

For this problem <3,-2> + <1,7> = <3+1,-2+7> = <4,5>

Answer 2

u + v = <3 + 1, - 2 + 7> = ,4, 5> = 4i + 5j