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Two adjacent sides of a parallelogram are represented by the two vectors $\hat{i} + 2 \hat{j} + 3 \hat{k} and 3 \hat{i} - 2 \hat{j} + \hat{k}$ . What is the area of parallelogram

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Correct option is B

Area of parallelogram = A→ ×B→= i^+2j^+3k^ ×3i^−2j^+k^= i^j^k^1233−21 = (8)i^ +(8)j^−(8)k^Magnitude = 64+64+64= 83

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Two adjacent sides of a parallelogram are represented by the two vectors i^+2j^+3k^ and 3i^−2j^+k^. What is the area of parallelogram

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Ready to Test Your Skills?

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Two adjacent sides of a parallelogram are represented by the two vectors $\hat{i} + 2 \hat{j} + 3 \hat{k} and 3 \hat{i} - 2 \hat{j} + \hat{k}$ . What is the area of parallelogram