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MHT CET202411 May 2024Morning ShiftMathematicsStraight LinesActual

The area of the triangle with vertices (1,2,0) , (1,0,2) and (0,3,1) is.

Options

  1. A3 sq. units
  2. B6 sq. units
  3. C5 sq. units
  4. D7 sq. units

Correct answer

B. 6 sq. units

Step-by-step solution

aligned & Let A (1,2,0), B (1,0,2) and C (0,3,1) & AB =-2 j +2 k and AC =- i + j + k & Area of ABC = 1 2 | AB AC | & | AB AC |= | array ccc i & j & k 0 & -2 & 2 -1 & 1 & 1 array | & = i (-2-2)- j (0+2)+ k (0-2) & =-4 i -2 j -2 k aligned ( aligned & 4^2+2^2+2^2 2 & = 6 aligned )

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