Question

Given vectors U = (7,4) and v = (1,-1), find the sum u + v and write the

result in component form.

Answer 1

⟨u + v⟩ = ⟨x₁ + x₂ , y₁ + y₂⟩
⟨u + v⟩ = ⟨7 + 1 , 4 + (-1)⟩
⟨u + v⟩ = ⟨8 , 3⟩

Answer 2

u + v = < 8, 3 >

Explanation:

u + v

= < 7, 4 > + < 1, - 1 > ← add corresponding components

= < 7 + 1, 4 - 1 >

= < 8, 3 >