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MHT CET202123 Sep 2021Evening ShiftMathematicsVector AlgebraActual

Let v =2 i +2 j - k and w = i +3 k . If u is a unit vector, then the maximum value of the scalar triple product [ u v W ] is

Options

  1. A6
  2. B10
  3. C13
  4. D89

Correct answer

D. 89

Step-by-step solution

aligned & v w = | array ccc i & j & k 2 & 2 & -1 1 & 0 & 3 array |= i (6)- j (7)+ k (-2)=6 i -7 j -2 k & | v w |= (6)^2+(7)^2+(2)^2 = 89 & Also | u |=1 & [ u v w ]= 89 aligned

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