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MHT CET2008MathematicsVector Algebra

If | a |=2,| b |=3 and a , b are mutually perpendicular, then the area of the triangle whose vertices are 0 , a + b , a - b is

Options

  1. A5
  2. B1
  3. C6
  4. D8

Correct answer

C. 6

Step-by-step solution

Let the position vectors of the points A, B, C are array l 0 , a + b , a - b and =90^ . Area of triangle = 1 2 | A B A C | . = 1 2 a + b ) ( a - b ) = 1 2 |2 b a | =| b || a | =3 2 90^ =6 array

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