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MHT CET202415 May 2024Evening ShiftMathematicsVector AlgebraActual

One side and one diagonal of a parallelogram are represented by 3 i + j - k and 2 i + j -2 k respectively, then the area of parallelogram in square units is

Options

  1. A2 3
  2. B3 2
  3. C6 2
  4. D4 3

Correct answer

B. 3 2

Step-by-step solution

a =3 i + j - k and c =2 i + j -2 k In ABC , aligned & a + b = c [ Using triangle law of addition] & aligned b & = c - a & =2 i + j -2 k -(3 i + j - k )=- i - k a b & = | array ccc i & j & k 3 & 1 & -1 -1 & 0 & -1 array |=- i +4 j + k aligned aligned aligned Area of parallelogram & =| a b | & = 1+16+1 & = 18 =3 2 sq. units aligned

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