When z1 and z2 are added together, the result moves z1 6 units right and 3 units down.
The real part of z1 + z2 is 8.
The imaginary part of z1 + z2 is -2.
What are complex numbers?
A complex number is of the form a + bi, a, b are Real numbers, and i = √(-1). It is used to determine the values of square roots of negative numbers. It is represented in the coordinate plane with the real part on the x-axis and imaginary part b on the y-axis, the ordered pair being (a, b).
How do we solve the given question?
In the question, we are given two complex numbers,
z1 = 2 + i
z2 = 6 - 3i
These points are represented on the Coordinate plane as a circle and a triangle respectively. We calculate their sum, z3.
To add Complex Numbers, the real parts are added to the real parts and the imaginary to the imaginary.
∴ z3 = z1 + z2 = (2 + i) + (6 - 3i) = (2+6) + (1-3)i = 8 -2i.
This point is represented as a square on the Coordinate plane.
By observing the coordinate plane, we can say that:
When z1 and z2 are added together, the result moves z1 6 units right and 3 units down.
Observing z3, we can tell that its real part is 8, and its imaginary part is -2.
∴ The real part of z1 + z2 is 8
∴ The imaginary part of z1 + z2 is -2
Learn more about Complex Numbers at
https://brainly.com/question/10662770
#SPJ2
