Scalar Product Course
Dive into scalar (dot) products through geometric insights, work-energy applications, and solid vector algebra. Gain skills to calculate angles, projections, norms, and verify parallelism/perpendicularity, empowering confident solutions to complex mathematics and physics problems in 2D and 3D.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course provides 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 dependable results ready for advanced maths and physics challenges.
Elevify advantages
Develop skills
- Quickly compute dot products, norms, and angles in R2 and R3 for practical tasks.
- 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 components for precise mathematical models.
- Communicate vector computations clearly with error checks and succinct notes.
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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