Answer
$$(3,5,0,-5,-17,-36)$$
Work Step by Step
To subtract two vectors, subtract their components. This yields:
$$\vec{E}=2\overrightarrow{N}-7 \overrightarrow{M}=2(5,6,7,8,9,10)-7(1,1,2,3,5,8)\\=(10-7,12-7,14-14, 16-21, 18-35, 20-56)=(3,5,0,-5,-17,-36)$$