Answer:
The direction of
is (4,4,-5).
The midpoint of the line segment
is in (-1 , 3 , 2.5)
Step-by-step explanation:
The direction of a vector that goes from the initial point A to the final point B can be calculated as the subtraction of B with A. In this case:

The midpoint of the line segment between two points A and B can be obtained as the halving of the addition of the vector A with the vector B. The line segment AB and the vector A+B make a rhombus. These lines will cross each other in their respective mediatrix. Therefore, if you obtain the point of the mediatrix of the vector A+B, you will find the midpoint of the segment AB. In this case:
![P_{mid1-2}=(\vec{P_1}+\vec{P_2})/2=\frac{1}{2}[(-3, 1, 5)+(1, 5, 0)]=(-1, 3, 2.5)](https://tex.z-dn.net/?f=P_%7Bmid1-2%7D%3D%28%5Cvec%7BP_1%7D%2B%5Cvec%7BP_2%7D%29%2F2%3D%5Cfrac%7B1%7D%7B2%7D%5B%28-3%2C%201%2C%205%29%2B%281%2C%205%2C%200%29%5D%3D%28-1%2C%203%2C%202.5%29)