Question

$\vec{A} = 2 \hat{i} + \hat{j}, B = 3 \hat{j} - \hat{k} and \vec{C} = 6 \hat{i} - 2 \hat{k} . Value of \vec{A} - 2 \vec{B} + 3 \vec{C}$ would be

Moderate

Solution

$\vec{A} - 2 \vec{B} + 3 \vec{C} = (2 \hat{i} + \hat{j}) - 2 (3 \hat{j} - \hat{k}) + 3 (6 \hat{i} - 2 \hat{k})$
= $2 \hat{i} + \hat{j} - 6 \hat{j} + 2 \hat{k} + 18 \hat{i} - 6 \hat{k}$
= $20 \hat{i} - 5 \hat{j} - 4 \hat{k}$

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