Answer:
(a) 6.708
(b) 11
Step-by-step explanation:
Tuples ( 22, 1, 42, 10) and (20, 0, 36, 8)
Euclidian distance formula
[tex]D = \sqrt{(q1 -p1)^2 + (q2-p1)^2 + (q3 - p3)^2 + (q4 -p4)^2}[/tex]
D = [tex]\sqrt{(22-20)^2 + (1-0)^2 + (42 -36)^2 + (10 -8)^2 }[/tex]
= [tex]\sqrt{(2)^2 + (1)^2 + (6)^2 + (2)^2}[/tex]
= [tex]\sqrt{4 + 1 + 36 + 4 }[/tex]
= [tex]\sqrt{45}[/tex]
D = 6.708
Therefore the Euclidean distance between the tuples is 6.708
Manhattan Distance formula
D = |q1-p1| + |q2 -p2| + |q3 -p3| + |q4-p4|
= |22-20| + | 1-0| + | 42 -36| + | 10-8|
= |2| + |1| + |6| + |2|
D = 11
Therefore the Manhattan distance is equal to 11
