Answer:
-3i +9j+3k
Step-by-step explanation:
Given that the vector is represented by the directed line segment with initial point A(1, −4, 1) and terminal point B(−2, 5, 4).
Position vector of A with respect to origin = (1, −4, 1)
position vector of B with respect to origin = (-2,5,4)
AB vector = OB-OA
= (-2-1, 5-(-4),4-1)
= (-3, 9, 3)
Line segment AB is (-3,9,3) or
-3i +9j+3k
Initial point is A and final point is B
