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Topic landing pageMath1 concepts25 min1 starter track

Vectors

Use one 2D plane to read vectors as both arrows and ordered pairs, then bridge that same language into motion without building a separate math system.

This topic keeps vectors compact and product-native. Vectors in 2D starts with geometric and algebraic views of the same object on one coordinate plane, then the starter path carries that language into the existing motion-facing vectors bench so the subject boundary stays honest instead of artificial.

Canonical topic: Vectors

Best first concepts

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Best firstNot startedMastery: New

Vectors in 2D

Combine, subtract, and scale vectors on one plane so magnitude, direction, and components stay tied to the same live object.

Combination and scaling

Strong first stop for getting into this topic without scanning the whole library.

Tip-to-tail combinationComponents on the planeScalar flips and stretches
Open concept

Related guided tracks

Use a short path when this topic should feel ordered instead of open-ended.

These tracks stay tied to the same shared concept pages and progress model. They are surfaced here either because the authored path meaningfully overlaps this topic page or because the topic catalog marks the track as useful preparation for this branch.

Starter track2 concepts50 min2 checkpoints

Start with vectors as geometric objects on a 2D plane, then carry the same component language into the existing motion-facing vectors bench.

Magnitude and directionAddition and subtraction

Track progress

0 / 4 moments complete

0 / 2 concepts and 0 / 2 checkpoints cleared.

1Vectors in 2D
Start here
2Vectors and Components
Ahead

Vectors in 2D opens this track and sets up the rest of the path.

Specific learning goals

Use a compact recommended path when this topic has a clear objective.

These goal cards stay authored and transparent. They reuse the current topic page, starter tracks, guided collections, concept bundles, and progress cues instead of adding a separate recommendation system on top of this branch.

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Prepare for a branchNot started3 steps16 concepts425 min

Bridge plane vectors into motion

Use the vectors topic route, the short bridge track, and the mechanics topic page so vectors feel like one language before motion problems take over.

Primary move

Open topic route

No saved progress yet inside Vectors.

Entry diagnostic

Start from beginning

No saved diagnostic checks are available yet, so the opening concept is still the best place to start.

Reuses the starter track entry for Vectors and Motion Bridge, with 0 of 2 probes already ready.

  1. 1Topic routeNot started

    Start on the vectors topic route

    No saved progress yet inside Vectors.

  2. 2Starter trackNot started

    Run the Vectors and Motion Bridge starter track

    Vectors in 2D opens this track and sets up the rest of the path.

  3. 3Topic routeNot started

    Open mechanics once the vector language feels stable

    No saved progress yet inside Mechanics.

Vectors topic routeBridge starter trackMechanics handoff

Grouped concept overview

Browse this topic by intent, not by one long unstructured list.

Each group is authored in the topic catalog, but the actual concepts, progress badges, and track cues still come from the canonical concept metadata and shared progress model.

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Group 01

Plane vectors and combination

Start with one 2D plane where magnitude, direction, components, addition, subtraction, and scalar multiplication all stay visible together before the same vector language crosses into mechanics.

1 concepts25 min
MathVectorsBest firstIntro25 minNot startedMastery: New

Vectors in 2D

Combine, subtract, and scale vectors on one plane so magnitude, direction, and components stay tied to the same live object.

Strong first stop for getting into this topic without scanning the whole library.

Vectors and Motion Bridge - 1/2
Tip-to-tail combinationComponents on the plane