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Mathematics · JEE | VECTOR ALGEBRA
हिन्दीArea of a rectangle having vertices A, B, C and D with position vectors \( -\hat{i} + \frac{1}{2}\hat{j} + 4\hat{k} \), \( \hat{i} + \frac{1}{2}\hat{j} + 4\hat{k} \), \( \hat{i} - \frac{1}{2}\hat{j} + 4\hat{k} \) and \( -\hat{i} - \frac{1}{2}\hat{j} + 4\hat{k} \) respectively is:
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Correct answer · Option C
2
Explanation
Side vectors are \( \vec{AB} = 2\hat{i} \) and \( \vec{BC} = -\hat{j} \). The cross product magnitude is \( |2\hat{i}\times(-\hat{j})| = |2\hat{k}| = 2 \).
