Lintersect --- Introduction ---

This is a computing exercise on the intersection of two affine subspaces (lines, planes, or hyperplanes) in a plane or a space of higher dimension. It can present the two starting subspaces under several forms, and can ask you to describe the intersection under one of several forms.

The case where the intersection is a unique point is often quite easy. Otherwise, computations of linear algebra will often be necessary to solve the exercise.

Type of the intersection:

The first subspace (smaller) will be presented by

The second subspace (bigger) will be presented by

And you should describe the intersection by

Attention. The condition on integer coordinates/coefficients may considerably increase the difficulty of the problem.

Other exercises on: Lines   planes   affine geometry  

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Description: find the intersection of 2 lines, 2 planes, line and plane, etc. interactive exercises, online calculators and plotters, mathematical recreation and games

Keywords: interactive mathematics, interactive math, server side interactivity, algebra, geometry, affine geometry, line, plane, hyperplane, space, implicit, point, parametric, system