Question

Explain in detail with at least two sentences how to represent the sum of z1 and z2 geometrically given that z1 = -7i and z2 = 4 + 3i. Then, give the sum z1 + z2 in rectangular form.

Answer 1

Answer:

Step-by-step explanation:

Given are two complex numbers as

$z_1 =-7i\\z_2 = 4+3i$

When we add algebraically, we add the real parts and then add the imaginary parts separately

Hence

$z_1+z_2=-7i+4+3i=4-4i$

Geometrically we draw position vector of both the points.  The sum would be resultant of these two vectors.

Answer 2

$\bf \stackrel{z1}{-7i}+\stackrel{z2}{4+3i}\implies \stackrel{x}{4}+\stackrel{y}{4}i\implies (\stackrel{rectangular}{4~,~4})$

check the picture below.