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Question

If the area of the parallelogram whose adjacent sides are (3^i4^j+λ^k) and (2^j4^k) is 436 sq. units and λ0, then λ=

A
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B
4
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C
1
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3
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Solution

The correct option is A 0
n=(3^i4^j+λ^k)×(2^j4^k)

n=∣ ∣ ∣^i^j^k34λ024∣ ∣ ∣=(162λ)^i+12^j+6^k

Area of parallelogram=|n|

436=(162λ)2+122+36

436=144+36+4(8λ)2

64=(8λ)2

±8=8λ

λ=0,16

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