Answer
$$(5, 6,7,8,9,10)$$
Work Step by Step
To add two vectors, add their components. This yields:
$$\vec{K}=\dfrac{\overrightarrow{N}}{3}+ \dfrac{2\overrightarrow{N}}{3}\\=\dfrac{(5,6,7,8,9,10)}{3}+\dfrac{ 2(5,6,7,8,9,10)}{3} \\=(\dfrac{5+10}{3}, \dfrac{6+12}{3}, \dfrac{7+14}{3}, \dfrac{8+16}{3}, \dfrac{9+18}{3}, \dfrac{10+20}{3})\\=(5, 6,7,8,9,10)$$