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Manipal MET2018MathematicsVector Algebra

The area of a parallelogram with diagonals as a =3 i + j -2 k and b = i -3 j +4 k is

Options

  1. A10 3
  2. B10 3
  3. C5 3
  4. D5 3

Correct answer

C. 5 3

Step-by-step solution

Now, aligned a b & = | array ccr i & j & k 3 & 1 & -2 1 & -3 & 4 array | & = i (4-6)- j (12+2)+ k (-9-1) & =-2 i -14 j -10 k aligned Area of required parallelogram = 1 2 | a b |= 1 2 4+196+100 = 10 3 2 =5 3

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