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22 votes
22 votes
Consider the complex number on the complex plane and the complex number z2 = 6 – 3i.

When z1 and z2 are added together, the result moves z1 6 units
and 3 units
.

The real part of z1 + z2 is
.

The imaginary part of z1 + z2 is
i.

Consider the complex number on the complex plane and the complex number z2 = 6 – 3i-example-1
User Mahbub
by
3.2k points

2 Answers

16 votes
16 votes

Answer:

See below

Explanation:

So, on the complex plane, we see that
z_1=2+1i

Therefore,
z_1+z_2=(2+1i)+(6-3i)=8-2i

Since we added the complex numbers, we can see that the real part of
z_1+z_2 is 8 and the imaginary part of
z_1+z_2 is -2. Remember that complex numbers are written in the form of
a+bi, so either the real or imaginary part can both be negative.

User Dimitris Makris
by
3.1k points
10 votes
10 votes

Answer:

beep

Explanation:

edge 2022

good luck :)

Consider the complex number on the complex plane and the complex number z2 = 6 – 3i-example-1
User Rox
by
2.6k points