Question

If $z_1=3-2i,z_2=3+5i$, then find length of the line segment

• A. $\sqrt{45}$
• B. $7$
• C. $14$
• D. $9$

Answer 1

The correct option is B $7$

Given, $z_1=3-2i,z_2=3+5i$

Length of the line segment $=|z_2-z_1|$

$=|(3+5i)-(3-2i)|$

$=|7i|$

$=\sqrt{7^2+0^2}$

$=7$