Question

prove by vector method that diagonal of parallelogram bisect each other

Answer 1

Answer:

abcd is a vertices of the parallelogram in that order

A ------- B

   \         \

    \         \

     D ------- C

then the vector ab= dc and then ad=bc

the mid point if the diagonal is o and 1/2 (a+b)

A+1/2(B-A)=1/2(A+B)

OAvector=OB vector+BA vector=ODvector+DAvector

OCvector=OB+BC vector=OD vector+DC vector

OA vector+OC vector=2OBvector+BD vector

so o is mid point of the parallelogram  then they bisect each other

Step-by-step explanation: