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What is the area of the triangle whose vertices are (0,0,0),(1,2,3) and (-3,-2,1) ?

Options

  1. A3 5 square unit
  2. B6 5 square unit
  3. C6 square unit
  4. D12 square unit

Correct answer

A. 3 5 square unit

Step-by-step solution

Area = 1 2 | AB AC |= 1 2 | array ccc i & j & k 1 & 2 & 3 -3 & -2 & 1 array | aligned & = 1 2 (8 i -10 j +4 k ) & = 1 2 64+16+100 aligned aligned & = 1 2 (6 5 ) & =3 5 aligned

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