Point A of the vector from the origin represents a complex number plotted on the complex plane. Which point represents the product of the complex number and -1?

Point A of the vector from the origin represents a complex number plotted on the complex plane Which point represents the product of the complex number and 1 class=

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Answer:

Step-by-step explanation:

Complex numbers can be represented on an Argand diagram, where the x-axis is called the real axis and the y-axis is called the imaginary axis.

The complex number z = x + yi can be plotted on the Argand diagram as the point P(x, y), where x and y are the Cartesian coordinates corresponding to the real and imaginary parts of the complex number, respectively.

Therefore, point A is the complex number z₁ = -4 + 7i.

The product of the complex number and -1 is:

[tex]z_2=-1(-4+7i)\\\\z_2=4-7i[/tex]

This corresponds to the point in quadrant IV that is colinear with point A (see attachment).

Ver imagen semsee45