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MHT CET20239 May 2023Morning ShiftMathematicsVector AlgebraActual

The volume of parallelopiped, whose coterminous edges are given by u = i + j + k , v = i + j +3 k , w =2 i + j + k is 1 cu. units. If is the angle between u and w , then the value of is

Options

  1. A3 4
  2. B5 6
  3. C1 5
  4. D1 6

Correct answer

B. 5 6

Step-by-step solution

aligned & Volume of parallelepiped = [ array lll u & v & w array ] & | array lll 1 & 1 & 1 & 1 & 3 2 & 1 & 1 array |=1 & =2 & = 2+1+2 6 6 = 5 6 aligned

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