Vektor =Proyeksi ortogonal suatu vektor pada vektor lain​

u = (2 , 0 , 1)

v = (2 , 2 , 2)

w = (1 , 2 , 4)

x = (2 , 3 , 5)

uv = v – u

uv = (2 , 2 , 2) – (2 , 0 , 1)

uv = (0 , 2 , 1)

wx = x – w

wx = (2 , 3 , 5) – (1 , 2 , 4)

wx = (1 , 1 , 1)

uv.wx = 0(1) + 2(1) + 1(1)

uv.wx = 0 + 2 + 1

uv.wx = 3

|wx| = V[1^2 + 1^2 + 1^2]

|wx| = V(1 + 1 + 1)

|wx| = V3

proyeksi vektor ortogonal uv pada wx

= [uv.wx/|wx|^2] wx

= [3/(V3)^2] (1 , 1 , 1)

= [3/3] (1 , 1 , 1)

= (1 , 1 , 1)

= i + j + k (C)