Given 𝑣⃗ =𝑖⃗−5𝑗⃗ and 𝑤⃗ =2𝑖⃗+3𝑗⃗, find

Question

Given 𝑣⃗ =𝑖⃗−5𝑗⃗ and 𝑤⃗ =2𝑖⃗+3𝑗⃗, find

a.) 𝑣⃗+𝑤⃗

b.) ‖𝑣⃗+𝑤⃗‖

Hello! I need some assistance with how to solve these two parts, please :)

Answer 1

a) v + w = (1 + 2)i + (- 5 + 3)j = 3i - 2j

b)IIv + wII = √3² + (- 2)² = √13