Question

Find the vector represented by the directed line segment with initial point A(1, −4, 1) and terminal point B(−2, 5, 4). SOLUTION By the definition, the vector corresponding to AB is

Answer 1

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