Question

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?

Answer 1

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.

Answer 2

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.