Find the area of a parallelogram whose adjacent sides are a = 3î + ĵ − 2k̂ and b = î − 3ĵ + 4k̂. A. 5√3 B. 10√3 C. 15 D. √15 Answer: B) 10√3 Explanation: a × b = î(4 − 6) − ĵ(12 − (−2)) + k̂(−9 − 1) = −2î − 14ĵ − 10k̂. Magnitude = √(4 + 196 + 100) = √300 = 10√3 sq units.

imo class 12 vector algebra

Find the area of a parallelogram whose adjacent sides are a = 3î + ĵ − 2k̂ and b = î − 3ĵ + 4k̂.

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Find the area of a parallelogram whose adjacent sides are a = 3î + ĵ − 2k̂ and b = î − 3ĵ + 4k̂.

Answer: B) 10√3

Explanation: a × b = î(4 − 6) − ĵ(12 − (−2)) + k̂(−9 − 1) = −2î − 14ĵ − 10k̂. Magnitude = √(4 + 196 + 100) = √300 = 10√3 sq units.

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