Question 4: 5 Marks

Let P = (1, 2, 3) and Q = (-5, -1, 12).

(4.1) Find the midpoint of the line segment connecting P and Q

(4.2) Find the point on the line segment connecting P and Q that is 2 3 of the way from P to Q

(4.3) Let P = (-1, 5, 2). If the point (0, -2, 3) is the midpoint of the line segment connecting P

and Q, what is the point Q?

Please explain each step