In the graph, the vector terminating at A represents the complex number z. The vector terminating at B represents the product of

Question

OLga [1]

4 years ago

8

In the graph, the vector terminating at A represents the complex number z. The vector terminating at B represents the product of

z and -2. Which graph correctly represents the product?

Mathematics

2 answers:

marin [14] · Answer 1 · 2021-12-20T16:23:06+03:00

Answer:

Step-by-step explanation:

A = z

B = -2z

Since z is in the second quadrant ( x is negative and y is positive)

when we multiply by -2, B is (-*- = +, + * - = -)

B is in the 4th quadrant ( x is positive, y is negative)

This is the only graph that meets that requirement.

Oksi-84 [34.3K] · Answer 2 · 2021-12-20T17:57:03+03:00

Answer:

The answer is the second graph

Step-by-step explanation:

1. A complex number is coumposed by a real coordinate (in the x axis) and a imaginary coordinate (in the Y axis). If we see the vector A, we can note its direction is <-1,3> .

2. When we multiply a number by a vector, we multiply the number by each component of the vector, as follows:

-2 * <-1,3> = <2,-6>

We can note the new direction <2,-6> is represented by the second graph.