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If veca, vecb, vecc, vecd are the positi...

If `veca, vecb, vecc, vecd` are the position vectors of points `A, B, C and D`, respectively referred to the same origin O such that no three of these points are collinear and `veca+vecc=vecb+vecd`, then prove that quadrilateral `ABCD` is a parallelogram.

A

Square

B

Rhombus

C

Rectangle

D

Parallelogram

Text Solution

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The correct Answer is:
D
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