Review question

# If $ABCDEFGH$ is a regular octagon, what do these vectors add to? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R5992

## Suggestion

$ABCDEFGH$ is a regular octagon. Express in terms of a single vector the sum of the vectors

1. $\mathbf{AC},\mathbf{AH},\mathbf{HG}$,

We can start by choosing one convenient pair to add. Remember that as long as we keep the sense correct we can add them in whatever order we like.

Given that $\big \vert \mathbf{AB} \big \vert = 2,$ calculate $\big \vert \mathbf{AF} \big \vert$.

What can we say about the lines $AF$ and $GH$?