Students will learn how to find the length of a vector, in \(\mathbb{R}^2,\) then \(\mathbb{R}^3,\) and finally, \(\mathbb{R}^n.\) Start with the distance formula for \(\mathbb{R}^2\) and \(\mathbb{R}^3,\) then abstract into \(\mathbb{R}^n.\) Students should also practice applying the formula.
Conclude by giving your students these challenges:
- Isometric Areas by NRICH
- Marbles by NRICH
- Negative Power by NRICH
- Power Crazy by NRICH
- Arranging Mean, Median, and Mode