Physics, asked by soumya122, 1 year ago

ABCD is a parallelogram.Show that 2DC-DB=AC

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Answered by keerthi65
8
AB = DC = a-----(1)
   
BC = AD = b -----(1)

AC,DB be the diagonals     [a,b are vectors ]

AC+DB

=> (AB+BC)+(DA+DC)

=> (a+b)+(-b+a)  
     [ -b as the direction is negative]
=> 2a

=> 2DC

hence,

2DC- DB=AC

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