Given a⃗ =⟨4, −3⟩ and b⃗ =⟨2, −1⟩, find a⃗ +3b⃗ .
Responses
⟨6, −4⟩Pick the answer below.
⟨10, −6⟩Pick the answer below.
⟨1, 1⟩Pick the answer below.
⟨7, −3⟩
To find a⃗ + 3b⃗, we need to add the corresponding components of a⃗ and 3b⃗.
The corresponding components are:
4 + 3(2) = 4 + 6 = 10
-3 + 3(-1) = -3 - 3 = -6
Therefore, a⃗ + 3b⃗ = ⟨10, -6⟩.