Question

Find the distance betwen the folowing points.

a. (4, −9) and (1, −5)
b. 4 − 9i and 1 − 5i
c. Explain why they have the same answer numericaly in parts (a) and (b) but a diferent perspective in
geometric efect

Answer 1

a) (4, −9) and (1, −5)

distance between two points

`D = √((x_2-x_1)^2+(y_2-y_1)^2)`

`D = √((1-4)^2+(-5-(-9))^2)`

`D = √(9+16)`

D = 5

b) 4 − 9 i and 1 − 5 i

r = (4-1) + (-9 -(-5))i

r = 3 - 4 i

`D = √(3^2 + 4^2)`

`D = √(3^2 + 4^2)`

`D = √(9+16)`

`D = √(25)`

D = 5

c) both the result are numerically same because complex number represent point on the graph where y -axis represent imaginary axis and x -axis is real value axis.