(Multiplication by

i

) Show that multiplication of a complex number by

i

corresponds to a counterclockwise rotation of the corresponding vector through the angle

(\\\\pi )/(2)

.\ Find\ 2.

|-0.2i|

\ 3.

|1.5+2i|

\ 4.

|z|^(4),|z^(4)|

\ 5.

|cos\\\\theta +isin\\\\theta |

\ 6.

|((/bar (z)))/(z)|

\ 7.

|(5+7i)/(7-5i)|

\ 8.\ 9.

|((1+i)^(6))/(i^(3)(1+4i)^(2))|

1. (Multiplication by i ) Show that multiplication of a complex number by i corresponds to a counterclockwise rotation of the corresponding vector through the angle /2. Find 2. 0.2i 3. 1.5+2i 5. cos+isin 6. zz 7. 75i5+7i 9. i3(1+4i)2(1+i)6