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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 The magnitu

Options

  1. A5
  2. B10
  3. C15
  4. Dnone of these

Correct answer

B. 10

Step-by-step solution

Let O A, O C & O G represents x, y & z axis respectively & let ( OA )= ( OC )= ( OG )=1 f ₁=2 ( j + k ) 2 f ₂=4 ( i + k ) 2 f ₃=6 ( i + j ) 2 f = 1 2 (10 i +8 j +6 k )= 2 (5 i +4 j +3 k )

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