In an Argand diagram, the points $A$, $B$, $C$, $D$ represent the complex numbers $a$, $b$, $c$, $d$

Question

In an Argand diagram, the points $A$, $B$, $C$, $D$ represent the complex numbers $a$, $b$, $c$, $d$ respectively. Given that $ABCD$ is a square described in an anticlockwise sense, with $a=1+\mathbf{i}$ and $c=7+3\mathbf{i}$, find $b$ and $d$.

Accepted Answer

$b=5-i$, $d=3+5i$

RI Complex Numbers Tutorial Q9

RI Complex Numbers Tutorial Q9

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