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Vector Algebra

Question

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Find the sum of the following vectors:
$\vec{a} = \hat{i} - 2 \hat{j}, \vec{b} = 2 \hat{i} - 3 \hat{j}, \vec{c} = 2 \hat{i} + 3 \hat{k} .$

Solution

$\vec{a} + \vec{b} + \vec{c} = (\hat{i} - 2 \hat{j}) + (2 \hat{i} - 3 \hat{j}) + (2 \hat{i} + 3 \hat{k}) = 5 \hat{i} - 5 \hat{j} + 3 \hat{k}$

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