ABCD is a parallelogram. show that 2DC vector - DB vector =AC vector.
Anmol chaudhary , 8 Years ago
Grade 11
General Physics> ABCD is a parallelogram. show that 2DC ve...
2 AnswersVikas TU
let AB = a = DC
BC = b = AD
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=AC+DB
2DC-DB = AC
Approved Last Activity: 8 Years ago
Shobhit Kumar
Since,ABCD is a parallelogramSo,DC=AB.Now,2DC-DB can be written as AB+DC-DB=ACAB+(DC-DB)=ACAB+BC=AC. Since(BC+CD=DB)AC=AC. Since(AB+BC=AC)Proved
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