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Manipal MET2017MathematicsThree Dimensional Geometry

The volume of the parallelopiped whose sides are given by O A =2 i -3 j , O B = i + j - k , O C =3 i - k

Options

  1. A4 13 cu unit
  2. B4 cu unit
  3. C2 7 cu unit
  4. DNone of these

Correct answer

B. 4 cu unit

Step-by-step solution

Volume of parallelopiped = | array ccc 2 & -3 & 0 1 & 1 & -1 3 & 0 & -1 array |=2(-1)+3(-1+3)=-2+6=4 cu unit.

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