By definition, for two vectors a and b :
a•b = |a| x |b| x cosθ .... where θ is the angle between the two vectors.
In a right-angled ΔABC with angle B equal to 90°. cos B = cos90°=0
AB•BC = |AB| x |BC| xcosB = 0
BA•BC = |BA| x |BC| xcosB = 0
BA•CB = |BA| x |CB| x cosB = 0