Final answer:
The x-component of the path vector ρAB is calculated by subtracting the x-coordinates of points A and B. Since both have the same x-coordinate, the result is 0.
Step-by-step explanation:
The question asks for the x-component of the path vector ρAB, where point A has coordinates (6, 6, 4) and point B has coordinates (6, 3, 9). To find the x-component of the path vector, we subtract the x-coordinate of point A from the x-coordinate of point B. In this case, both points have the same x-coordinate of 6.
So, the x-component of the path vector ρAB is 6 - 6 = 0.
The correct answer to the question is a) 0.