Calc 3 Study Hub

Plot points in 3D using the right-hand rule, compute distance and midpoint, recognize spheres, and describe surfaces and regions with equations and inequalities.

Represent vectors as arrows or components, compute magnitudes and unit vectors, add and scale them, and apply them to forces, tensions, and velocities.

Compute dot products component-wise and geometrically; find angles, test orthogonality, project, and compute work done by a force.

Compute the cross product via determinant or component formula, use the right-hand rule for direction, and apply it to areas, normal vectors, and parallelism tests.

Write parametric and symmetric equations for lines, equations for planes via point-and-normal, find intersections, distances, and classify pairs as parallel, orthogonal, or skew.

Parameterize curves in 2D and 3D, find domains and limits of vector functions, eliminate parameters, and use coordinate-plane projections to visualize 3D curves.