Answer
$$(12.87, 15.233, 18.66, 22.089, 26.58, 32.146)$$
Work Step by Step
$$\vec{P}=1.067\overrightarrow{M}+2.361 \overrightarrow{N}=1.067(1,1,2,3,5,8)+2.361 2(5,6,7,8,9,10)\\=(1.067, 1.067, 2.134, 3.201, 5.335, 8.536)+(11.805, 14.166, 16.527, 18.88, 21.249, 23.91)=(12.87, 15.233, 18.66, 22.089, 26.58, 32.146)$$