Given a cube `ABCDA_1B_1C_1D_1` with lower base `ABCD`, upper base `A_1B_1C_1D_1` and the lateral edges `A A_1, BB_1, C

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Q 2231312222.     Given a cube `ABCDA_1B_1C_1D_1` with lower base `ABCD`, upper
base `A_1B_1C_1D_1` and the lateral edges `A A_1, BB_1, CC_1` and `DD_1`;

`M` and `M_1` are the centres of the faces `ABCD` and `A_1B_1C_1D_1`

respectively. `O` is a point on the line `MM_1` such that

`vec(OA) + vec(OB) + vec(OC) + vec(OD ) = vec(OM_1)`, then `vec(OM) = lambda vec(OM_1)` if `lambda` is

equalsto
A

`1/`6`

B

`1/8`

C

`1/4`

D

`1/2`

HINT


Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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