Respuesta :

The x-axis is the real axis, and the y-axis is the positive imaginary (i) axis.

So the number w is approximately -1+3i.

Two ways to solve the problem.

1.

-i w = -i (-1+3i) = -i (-1)+ (-i)(3i) = +i +3, so the answer is the point A.

2.

You can consider multiplying by i is a counter-clockwise rotation of 90 degrees, and -i is a -90 degrees (i.e. clockwise).  So we can rotate w by -90 degrees to get point A.



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