Foundations & Tools · Topic

Scalars & Vectors

Represent physical quantities in 2D and 3D so you can analyze real systems using clean, consistent vector notation.

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Scalars vs Vectors
Distinguish between quantities with magnitude only and those with both magnitude and direction.
Steps 1–3 free Core
Vector Components (2D & 3D)
Break vectors into components using geometry and unit vectors for efficient calculations.
Steps 1–3 free Core
Vector Addition & Subtraction
Add and subtract vectors graphically and analytically using components.
Steps 1–3 free Core
Unit Vectors
Use unit vectors to express directions cleanly and simplify vector equations.
Steps 1–3 free Core
Dot Product (Scalar Product)
Learn how dot products connect vectors to work, projections, and angles between directions.
Steps 1–3 free Core
Cross Product (Introductory)
Introduce the vector product and its role in torque, angular momentum, and magnetic forces.
Steps 1–3 free Core