Treasure Inspiration
Vectors
T

Vector basics

Build the core idea from scratch with gentle steps and lots of hints.

Mathematics · Beginner

5

questions · ~4 min · 3 hints each (−5 pts)

Confidence tracking, 3-tier hints and instant feedback.

What you'll learn

Each question helps you build key knowledge and skills.

  • 1A column vector (x,y) describes a movement: x is horizontal, y is vertical.
  • 2To add vectors, add their x-components and y-components separately.
  • 3To subtract vectors, subtract corresponding components.
  • 4A scalar multiple k(x,y) = (kx,ky), scaling both components.

Question mix

A mix of question types to build your skills.

  • Fill the gap×5

Different question types help you think in different ways.

How it works

A simple 3-step process

  1. 1

    Rate your confidence

    Tell us how sure you feel before answering. It helps us understand your starting point.

  2. 2

    Use hints if stuck

    Get up to 3 helpful hints per question. Each hint costs 5 Treasure Points.

  3. 3

    See what went wrong

    Get instant feedback with clear explanations, so you can learn and improve.

Ready when you are

This takes about 4 minutes.