Mathematical Language, Graphs, and Vectors

Represent a simple physical relationship as a formula, table, and graph, and rearrange its formula for a chosen variable.

Use dimensional analysis to test whether a physical equation is consistent.

Interpret the slope and signed area of a graph together with their physical units.

Use radians and right-triangle trigonometry in physical models.

Convert a two-dimensional vector between magnitude-direction and Cartesian-component forms.

Add and subtract two-dimensional vectors using Cartesian components.

Compute and interpret the dot product using vector components or the angle between vectors.

Compute the cross product using vector components or vector magnitudes and determine its direction with the right-hand rule.