If ABCD is a quadrilateral and E and F are the midpoints of AC and BD respectively, then prove that `vec(AB)+vec(AD)+vec(CB)+vec(CD)=4vec(EF)`.

If ABCD is quadrilateral and E and F are the mid-points of AC and BD respectively, prove that vec AB+vec AD+vec CB+vec CD=4vec EF

If A B C D is quadrilateral and E and F are the mid-points of AC and BD respectively, prove that vec A B+ vec A D + vec C B + vec C D =4 vec E Fdot

ABCD is a quadrilateral. If M and N are the mid points of the sides vec(BD) and vec(AC) , respectively. Show that vec(AB)+vec(AD)+vec(CB)+vec(CD)=4vec(NM)

If ABCDEF is a regular hexagon, prove that vec(AC)+vec(AD)+vec(EA)+vec(FA)=3vec(AB)

If ABCDEF is a regular hexagon, prove that vec(AC)+vec(AD)+vec(EA)+vec(FA)=3vec(AB)

If PQ are the mid points of diagonal AC and BD respectively of a quadrilateral ABCD ,then prove that vec AB+vec AD+vec CB+vec CD=4vec PQ

If D is the midpoint of the side AB of a triagle ABC prove that vec(BC)+vec(AC)=-2vec(CD)

ABCDE is a pentagon prove that vec(AB)+vec(BC)+vec(CD)+vec(DE)+vec(EA)=vec0

If D is the midpoint of the side BC of a triangle ABC, prove that vec(AB)+vec(AC)=2vec(AD)

If D and E, are the midpoints of the sides AB and AC of a triangle ABC, prove that vec(BE) +vec(DC)=(3)/(2)vec(BC).