Tasks:

Given: $u=4-2i,v=3-4i,w=5$i and $a+ib=(u+iv)w,$ find a and $b.$

Convert your answer in No$.1$ to polar form using the cart$2$pol command.

Given $u=-4+3i,v=2+4i,$ and $a+ib=u{v}^2,$ find a and $b.$

Convert your answer in No$.3$ to polar form using the cart$2$pol command.

Given $u=2+3i,v=1-2i,w=-3-6i,$ find $u+2v,u-3v+2w,uv,$uvw,$\frac{u}{v},$ and $\frac{v}{w}.$

Convert your answer in No$.5$ to polar form using the cart$2$pol command.

Given $u=2i+3j+5k,v=-4i-7j-8k,$ find $u+v,u-v,uv$ and $\frac{u}{v}.$

Convert your answers in No$.7$ to polar form using the cart$2$pol command.

Convert your answers in No$.7$ to polar form using the cart$2$sph command.

Convert your answers in No$.8$ and No$.9$ back to rectangular form using the sph$2$cart and pol$2$cart commands.