AcademyMeasurement and Vectors
Academy
A Reliable Problem-Solving Process
Level 1 - Physics topic page in Measurement and Vectors.
Principle
A reliable solution keeps the physical model separate from algebraic execution.
Method
- Name the system before writing equations.
- List known quantities with units and signs.
- Choose a representation that exposes constraints.
- Solve symbolically before substituting numbers.
Rules
Equation count
\[N_{\mathrm{unknowns}}\le N_{\mathrm{independent\ equations}}\]
Dimensional check
\[[\text{left side}]=[\text{right side}]\]
Checks
- Units match term by term.
- Signs follow the chosen axes.
- Limiting cases behave sensibly.
- The answer has the requested physical type.