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KCET2015MathematicsQuadratic Equation

If ( a = i +2 j +2 k ,| b |=5 ) and the angle between ( a ) and ( b ) is ( 6 ), then the area of the triangle formed by these two vectors as two sides is

Options

  1. A( 15 2 )
  2. B( 15 )
  3. C( 15 4 )
  4. D( 15 3 2 )

Correct answer

C. ( 15 4 )

Step-by-step solution

Given that a = i +2 j +2 k (1) So, | a |= 1+4+4 = 9 =3| b |=5 and angle between a and b is 6 We know that area formed by two vectors as two sides is given by Area = 1 2 | a | b = 1 2 (3)(5) 6 = 15 4

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