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The area of the parallelogram whose sides are represented by the vectors $\hat{j} + 3 \hat{k} and \hat{i} + 2 \hat{j} - \hat{k}$ is

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61 sq. unit

59 sq. unit

49 sq.unit

52 sq.unit

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detailed solution

Correct option is B

A→ = j^ +3k^, B→ = i^+2j^−k^C→ = A→ ×B→ = i^j^k^01312−1 = −7i^+3j^−k^Hence area = |C→| = 49+9+1 = 59 sq.unit

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The area of the parallelogram whose sides are represented by the vectors j^ +3k^ and i^ +2j^ −k^ is

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The area of the parallelogram whose sides are represented by the vectors $\hat{j} + 3 \hat{k} and \hat{i} + 2 \hat{j} - \hat{k}$ is