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Question

The area of the parallelogram whose adjacent sides are 3^i+2^j+^k and ^j+2^k is

(a) 36 (b) 4
(c) 362 (d) 54

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Solution

Required area is the magnitude of the cross product of the two vectors.
∣ ∣ ∣^i^j^k321012∣ ∣ ∣=3^i6^j+3^k
Required Area =32+(6)2+32
=54=36

Option (a) is correct.

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