Question

# The area of the parallelogram whose adjacent sides are 3^i+2^j+^k and ^j+2^k is (a) 3√6 (b) 4 (c) 3√62 (d) 54

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Solution

## Required area is the magnitude of the cross product of the two vectors. ∣∣ ∣ ∣∣^i^j^k321012∣∣ ∣ ∣∣=3^i−6^j+3^k Required Area =√32+(−6)2+32 =√54=3√6 Option (a) is correct.

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