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Question

The area of the parallelogram when adjacent sides are given by the vectors A = ^i + 2^j + 3^k and B = 2^i  3^j + ^k is.
  1. 4195sq unit
  2. \N
  3. 195 sq unit
  4. 195sq unit


Solution

The correct option is D 195sq unit

We know that the area of the parallelogram is equal to the magnitude of the cross product of given vectors.

Now,
A×B=∣ ∣ ∣^i^j^k123231∣ ∣ ∣=^i(2+9)+^j(61)+^k(34)=11^i+5^j7^kSo area of parallelogram :|A×B|=112+52+(7)2=195sq.unit

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