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MHT CET2009MathematicsVector Algebra

Volume of the parallelopiped having vertices at O (0,0,0), A (2,-2,1), B (5,-4,4) and C=(1,-2,4) is

Options

  1. A5 cu unit
  2. B10 cu unit
  3. C15 cu unit
  4. D20 cu unit

Correct answer

B. 10 cu unit

Step-by-step solution

array ll & Given, O A =2 i -2 j + k & O B =5 i -4 j +4 k and O C = i -2 j +4 k array Volume of parallelopiped =[ OA OB OC ]= | array ccc 2 & -2 & 1 5 & -4 & 4 1 & -2 & 4 array |=2(-16+8)+2(20-4)+1(-10+4)=10 cu unit

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