Question

ABCD is a parallelogram and P is the point of intersection of its diagonals,if O is the origin of reference, show that OA vector+OB vector+OC vector+OD vector=4OP vector​

Answer 1

Step-by-step explanation:

ANSWER

OA

+

OB

+

OC

+

OD

=(

OP

+

PA

)+(

OP

+

PB

)+(

OP

+

PC

)+(

OP

+

PD

)

=4

OP

+(

PA

+

PD

+

PB

+

PC

)

=4

OP

+(

PA

−

PA

+

PB

−

PB

)

( ∵ For a parallelogram P bisects the two diagonal.)

=4

OP

Hence, A is the correct option.

solution

Please mark me as brainliest

and follow me