Topics

Analytic geometry

Lines, planes and solids in space described by vectors — and how they are positioned relative to one another.

12 topics

Vectors and vector arithmetic
Lines in space
PlanesParametric, normal and coordinate form, and converting between them
Relative positionPoint, line, plane — parallel, intersecting, skew, coincident
Systems of linear equations
Dot productOrthogonality, angles between vectors
Cross productPart of some syllabuses only. Each product states its curriculum reference.
DistancesPoint–line, point–plane, line–line, line–plane
Angles
Areas and volumes of solids
SpheresPart of some syllabuses only. Each product states its curriculum reference.
MatricesArithmetic, determinant, inverse, mappings and transition processes. Part of some syllabuses only.

Products in this subject area

Products
Title	Year	Problems	Difficulty	Languages	Price
Lengths, areas and volumes in spaceTriangles, quadrilaterals, parallelepiped, prism, pyramid, angles and solids in coordinatesAnalytic geometry	ABITUR · Q1 · Q2	112	1–6/6	DE · EN	€9.99
Systems of linear equationsBasic methods, Gaussian elimination, solution sets, parameters and reconstruction — up to Abitur+Analytic geometry	ABITUR · E · Q1 · Q2	104	1–6/6	DE · EN	€9.99
MatricesArithmetic, determinant, inverse, systems of equations, mappings and transition processesAnalytic geometry	ABITUR · Q2	116	1–6/6	DE · EN	€9.99
Analytic geometry complete packageBasic level, advanced level and Abitur+ — with full solutionsAnalytic geometry	ABITUR	19	4–6/6	DE · EN	€49.99
Planes and distancesPlane equations, relative positions, distances, reflection and families of planes — up to Abitur+Analytic geometry	ABITUR · Q1 · Q2	124	1–6/6	DE · EN	€9.99
Vectors, lines, dot and cross productThe entry into analytic geometry — up to Abitur+Analytic geometry	ABITUR · Q1 · Q2	116	1–6/6	DE · EN	€9.99
Spheres and circles in spaceSphere equation, relative positions, tangent planes and circles — up to Abitur+Analytic geometry	ABITUR · Q2	106	1–6/6	DE · EN	€9.99

Lengths, areas and volumes in space
Triangles, quadrilaterals, parallelepiped, prism, pyramid, angles and solids in coordinates
Subject area
Analytic geometry
Year
ABITUR · Q1 · Q2
Problems
112
Difficulty
1–6/6
Languages
DE · EN
€9.99
Systems of linear equations
Basic methods, Gaussian elimination, solution sets, parameters and reconstruction — up to Abitur+
Subject area
Analytic geometry
Year
ABITUR · E · Q1 · Q2
Problems
104
Difficulty
1–6/6
Languages
DE · EN
€9.99
Matrices
Arithmetic, determinant, inverse, systems of equations, mappings and transition processes
Subject area
Analytic geometry
Year
ABITUR · Q2
Problems
116
Difficulty
1–6/6
Languages
DE · EN
€9.99
Analytic geometry complete package
Basic level, advanced level and Abitur+ — with full solutions
Subject area
Analytic geometry
Year
ABITUR
Problems
19
Difficulty
4–6/6
Languages
DE · EN
€49.99
Planes and distances
Plane equations, relative positions, distances, reflection and families of planes — up to Abitur+
Subject area
Analytic geometry
Year
ABITUR · Q1 · Q2
Problems
124
Difficulty
1–6/6
Languages
DE · EN
€9.99
Vectors, lines, dot and cross product
The entry into analytic geometry — up to Abitur+
Subject area
Analytic geometry
Year
ABITUR · Q1 · Q2
Problems
116
Difficulty
1–6/6
Languages
DE · EN
€9.99
Spheres and circles in space
Sphere equation, relative positions, tangent planes and circles — up to Abitur+
Subject area
Analytic geometry
Year
ABITUR · Q2
Problems
106
Difficulty
1–6/6
Languages
DE · EN
€9.99

Apply — Analytic geometry

All subject areas