Suppose A=(1,3,−6) and AB=⟨7,5,11⟩. Then
B=
B=AB/A
(7,5,11)/(1,3,-6)
B=(7, 5/3, -11/6)
AB is a vector and A and B are points, so
let B = (x,y,z)
vector AB = <x-1,y-3,z+6) which is <7,5,11>
x-1 = 7 ----> x = 8
y-3 = 5 ----> y = 8
z+6 = 11 ---> z = 5
point B is (8,8,5)
To find the coordinates of point B, we need to add the coordinates of point A to the coordinates of AB.
Given: A = (1, 3, -6) and AB = ⟨7, 5, 11⟩
To get the coordinates of B, we perform coordinate-wise addition:
B = A + AB
= (1, 3, -6) + (7, 5, 11)
= (1+7, 3+5, -6+11)
= (8, 8, 5)
Therefore, B = (8, 8, 5).