Gegeven zijn de complexe getallen `z_1 = 3 + 4text(i)` en `z_2 = 6 + 2text(i)` .
Bereken `2z_1 * 0,5z_2` en `(2z_1)/(0,5z_2)` .
Bedenk eerst dat `2z_1 = 2*(3 + 4text(i)) = 6 + 8text(i)` .
En ook dat `0,5z_2 = 0,5*(6 + 2text(i)) = 3 + text(i)` .
Daarom is `2z_1 * 0,5z_2 = (6 + 8text(i)) * (3 + text(i)) = 18 + 6text(i) + 24text(i) + 8text(i)^2 = 10 + 30text(i)` .
En `(2z_1)/(0,5z_2) = (6 + 8text(i))/(3 + text(i)) = (6 + 8text(i))/(3 + text(i)) * (3 - text(i))/(3 - text(i)) = (26 + 18text(i))/10 = 2,6 + 1,8text(i)`
Neem de twee complexe getallen
`z_1`
en
`z_2`
uit
Bereken `3z_1 * 2z_2` .
Bereken `(3z_1)/(2z_2)` .
Bereken `3text(i)*z_1` .
Bereken `(3text(i))/(z_2)` .