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What is the area of the rectangle having vertices A , B , C and D with position vectors - i + 1 2 j +4 k , i + 1 2 j +4 k , i - 1 2 j +4 k and - i - 1 2 j +4 k ?

Options

  1. A1/2 square unit
  2. B1 square unit
  3. C2 square unit
  4. D4 square unit

Correct answer

B. 1 square unit

Step-by-step solution

aligned & A (-1, 1 2 , 4 ) B (1, 1 2 , 4 ) & B (-1, 1 2 , 4 ) C (1, -1 2 , 4 ) aligned AB =1 BC =1 Area (1).

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