Question
Find the sum of the vectors $ \vec{v_1} = \left(2,~-1\right) $ and $ \vec{v_2} = \left(-1,~3\right) $ .
Answer
$$ v_1 + v_2 = \left(1,~2\right) $$
Explanation
To find the sum $ v $ of the vectors $ v_1=(a_1, b_1) $ and $ v_2=(a_2, b_2) $ we use formula
$$ v = (a_1 + a_2, b_1 + b_2) $$In this example $ a_1 = 2 $ , $ b_1 = -1 $, $ a_2 = -1 $ and $ b_2 = 3 $, therefore:
$$ \begin{aligned}v &= (a_1 + a_2, b_1 + b_2) \\v &= \left(2 -1, -1 + 3 \right) \\v &= \left(1,~2\right) \end{aligned} $$This page was created using
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