Find the distance between the complex numbers in the complex

blakkazn924e4y

blakkazn924e4y

Answered question

2022-03-03

Find the distance between the complex numbers in the complex plane. 1+4i,1+7i

Answer & Explanation

faraidz3i

faraidz3i

Beginner2022-03-04Added 10 answers

The distance between the two complex numbers, z1=a+bi and z2=c+di in the complex plane is D=(ca)2+(db)2
In the cartesian plane, the distance between one point and another is (x1,y1), and (x2,y2) is the distance formula is D=(x2x1)2+(y2y1)2
To find the distance between the two complex number using the formula
D=(ca)2+(db)2 where z1=1+4i and z2=1+7i substitute a=1,b=4,c=1, and d=7 in the distance formula
a=1
b=4
c=1
d=7
D=(ca)2+(db)2
=(11)2+(74)2
=22+32
=4+9
Answer: D=13

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