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If $\vec{A} = \hat{i} + 2 \hat{j} + 3 \hat{k}$ and $\vec{B} = 3 \hat{i} - 2 \hat{j} + \hat{k}$ , then the area of parallelogram formed from these vectors as the adjacent sides will be

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83 square units

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detailed solution

Correct option is D

A→×B→=|i^j^k^1233−21| =i^(2+6)+j^(9−1)+k^(−2−6) =8i^+8j^−8k^ ∴ Area =|A→×B→|=82+82+(−8)2 =83 square units

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If A→=i^+2j^+3k^ and B→=3i^−2j^+k^ , then the area of parallelogram formed from these vectors as the adjacent sides will be

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If $\vec{A} = \hat{i} + 2 \hat{j} + 3 \hat{k}$ and $\vec{B} = 3 \hat{i} - 2 \hat{j} + \hat{k}$ , then the area of parallelogram formed from these vectors as the adjacent sides will be