Complex numbers

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

1. Warm-up

   On an Argand diagram, the point $P$ represents $z_{1} = 4 - 5i$ and the point $Q$ represents $z_{2} = 19 + 3i$. Find the distance $PQ$.

2. Warm-up

   On an Argand diagram, the point $P$ represents $z_{1} = 3 - 2i$ and the point $Q$ represents $z_{2} = 8 + 10i$. Find the distance $PQ$.

3. Warm-up

   On an Argand diagram, the point $P$ represents $z_{1} = 1 + 5i$ and the point $Q$ represents $z_{2} = 13 + 21i$. Find the distance $PQ$.

Problems shown under their original terms: Generated (template, solver-computed).