Distance in the Complex Plane

[nycmathguy]

Section 6.5

Can you do 42 as a guide for me to do the rest on my days off? Thank you.

 

[MathLover1]

42.

d = sqrt((s − a)^2 + (t − b)^2) is the distance formula between the two points in the complex plane.

-5+i=a+bi
-2+5i=s+ti

d =sqrt( (-2 − (-5))^2 + (5 − 1)^2)=sqrt(25)=5

 

[nycmathguy]

42.

d = sqrt((s − a)^2 + (t − b)^2) is the distance formula between the two points in the complex plane.

-5+i=a+bi
-2+5i=s+ti

d =sqrt( (-2 − (-5))^2 + (5 − 1)^2)=sqrt(25)=5

Very nice. I will do the rest this weekend and post my effort here, of course.

 

[nycmathguy]

42.

d = sqrt((s − a)^2 + (t − b)^2) is the distance formula between the two points in the complex plane.

-5+i=a+bi
-2+5i=s+ti

d =sqrt( (-2 − (-5))^2 + (5 − 1)^2)=sqrt(25)=5