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The area of the parallelogram represented by the vectors $\vec{A} = 2 \hat{i} + 3 \hat{j} and \vec{B} = \hat{i} + 4 \hat{j} is$

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14 units

7.5 units

10 units

5 units

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detailed solution

Correct option is D

||A→×B→| = (2i^+3j^)×(i^+4j^)| = |5k^| = 5 units|

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The area of the parallelogram represented by the vectors A→ = 2i^+3j^ and B→ = i^+4j^ is

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The area of the parallelogram represented by the vectors $\vec{A} = 2 \hat{i} + 3 \hat{j} and \vec{B} = \hat{i} + 4 \hat{j} is$