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Let A B C D be a p[arallelogram whose di...

Let `A B C D` be a p[arallelogram whose diagonals intersect at `P` and let `O` be the origin. Then prove that ` vec O A+ vec O B+ vec O C+ vec O D=4 vec O Pdot`

A

`vecOP`

B

`2vecOP`

C

`3veOP`

D

`4vecOP`

Text Solution

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The correct Answer is:
4
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Knowledge Check

  • Let ABCD be a parallelogram whose diagonals intersect at P and let O be the origin. What is vec(OA) + vec(OB) + vec(OC ) + vec(OD) equal to

    A
    `2 vec(OP)`
    B
    `4 vec(OP)`
    C
    `6 vec(OP)`
    D
    `8 vec(OP)`

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