Cube & vectors

Hello :D

ABCDEFGH is a cube with a side of 3cm. The points I and J are defined by:

vector BI = 1/5 of vector BF
vector CJ = 4/5 of vector CG

The plan (EIJ) cuts line (HG) into K.

1. Prove that line (EK) and line (FG) are parallele.

Any suggestions on how to go about this?
 

VietDao29

Homework Helper
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I really don't think the problem you posted is correct. Please re-check the problem.
Viet Dao,
 

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