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Paragraph Three forces f ₁, f ₂ & f ₃ of magnitude 2,4 and 6 units respectively act along three face diagonals of a cube as shown in figure. Let P ₁ be a parallelopiped whose three co-terminus edges be three vectors f ₁, f ₂ & f ₃ . Let the joning of mid-points of each pair of opposite edges of parallelopiped P₁ meet in point X . On the basis of above information, answer the following questions : Question (O X) is eq

Options

  1. A5
  2. B1.5
  3. C2
  4. D2.5

Correct answer

A. 5

Step-by-step solution

OX = f ₁+ f ₂+ f ₃ 2 = 2 (5 i +4 j +3 k ) 2 | OX |=5

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