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MHT CET20243 May 2024Morning ShiftMathematicsVector AlgebraActual

The area (in sq. units) of the parallelogram whose diagonals are along the vectors 8 i -6 j and 3 i +4 j -12 k , is

Options

  1. A52
  2. B26
  3. C65
  4. D20

Correct answer

C. 65

Step-by-step solution

Let a =8 i -6 j , b =3 i +4 j -12 k aligned & Area of parallelogram = 1 2 | a b | . & a b = | array ccc i & j & k 8 & -6 & 0 3 & 4 & -12 array |=72 i +96 j -50 k & 1 2 | a b |= 5184+9216+2500 1 2 & = 16900 1 2 =130 1 2 =65 aligned

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