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OLga [1]
3 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]3 years ago
6 0

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]3 years ago
6 0

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.

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