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KVPY2010MathematicsVector Algebra

Let u =2 i - j + k , v =-3 j +2 k be vectors in R ³ and w be a unit vector in the xy -plane. Then the maximum possible value of |( u v ) w | is-

Options

  1. A5
  2. B12
  3. C13
  4. D17

Correct answer

D. 17

Step-by-step solution

array l u v =(2 i - j + k ) (-3 j +2 k ) -6 k -4 j -2 i +3 i = i -4 j -6 k Let w = a i + b j a ²+ b ²=1 a = ; b = u v w = a -4 ~b = -4 , value = 1²+(-4)² = 17 array

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