Abcd is a parallelogram show that 2dc db ac
Asked by admin @ in Math viewed by 358 People
ABCD is a parallelogram of vectors, show that 2DC- DB=AC
Answered by admin @
Heya...!!!!
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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