The point represented by 2+i in the Argand plane moves 1 unit eastwards, then 2 units nort…

Question

The point represented by $2+i$ in the Argand plane moves 1 unit eastwards, then 2 units northwards, then $2\sqrt2$ units south-westwards. Its new position is represented by:

Accepted Answer

Starting at $(2,1)$: eastward 1 unit $	o(3,1)$; northward 2 units $	o(3,3)$; south-west $2\sqrt2$ units (i.e., $-2-2i$ direction) $	o(1,1)$.

New position: $1+i.$

Solutions · 1