← All problems
Illustration by IOAI Training
🇺🇸 USA USAAIO 2026, Round 1
Projection onto a Principal Component
✍️ Solved by us
Compute a unit principal direction, a projection and its residual for small vectors.
- Statement
- English
- To hand in
- Written answers
- Data type
- ✍️ Written questions
- Estimated difficulty
- ★☆☆☆☆
- Correction
- Our worked correction · best opened after you have tried
Get ready on the platform
The chapters of the learning path that prepare for this problem.
These chapters are picked from the solution: showing them may hint at the approach.
›How to tackle it
- Read everything first. Note what each question asks and how it is marked.
- Work on paper. Justify every step: at an olympiad, the reasoning earns the points.
- Then compare. Open the solution only once you have an answer, and compare your reasoning with it.
The statement, data and solutions belong to their authors; we only link to them.
Are you the author or organiser? Ask for a correction or removal