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AP EAMCET202023 Sep 2020Morning ShiftMathematicsVector AlgebraActual

The area of the parallelogram, whose diagonals are 2 i ^ - j ^ + k ^ and i ^ + 3 j ^ - k ^ , is equal to

Options

  1. A26 2 square units
  2. B2 26 square units
  3. C62 2 square units
  4. D2 62 square units

Correct answer

C. 62 2 square units

Step-by-step solution

Area of parallelogram = 1 2 d → 1 × d → 2 d → 1 × d → 2 = i ^ j ^ k ^ 2 - 1 1 1 3 - 1 = - 2 i ^ + 3 j ^ + 7 k ^ d → 1 × d → 2 = 62 Area = 62 2 square units.

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