Scalar Product Course
Dive into scalar (dot) products with intuitive geometry, practical work and energy applications, and solid vector algebra. Gain skills to calculate angles, projections, norms, and verify parallelism/perpendicularity, empowering confident solutions in advanced maths and physics problems.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course offers a quick, hands-on way to master dot products, norms, angles, and projections in 2D and 3D spaces. You'll calculate work, break down vectors into components, check for parallelism and perpendicularity, and use precise tests for collinearity. With guided examples, error-checking methods, and clear reporting skills, you'll produce accurate, professional results for complex problem-solving.
Elevify advantages
Develop skills
- Quickly compute dot products, norms, and angles in 2D and 3D for practical applications.
- Apply scalar products to analyse work, projections, and energy in physics contexts.
- Identify parallel, perpendicular, and collinear vectors using reliable dot product methods.
- Normalise vectors and decompose into components for precise mathematical models.
- Communicate vector computations effectively with error checks and succinct summaries.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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