Point-to-line distance in 3D
Move a point and explore the perpendicular foot, right-angle marker and distance to a line. Check the result using the cross-product formula.
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Points, lines and planes in space: distances, feet of perpendiculars and angles
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Distance between skew lines in 3D
Explore the common perpendicular, its feet on both lines and their distance. Adjust the geometry with sliders and examine the parallel case.
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Planes in space
Enter up to six planes in coordinate, parametric or normal form. Compare all three representations and automatically highlight intersection lines and points.
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Cross and scalar triple products in 3D
Drag vectors to explore perpendicular direction, parallelogram area and the right-hand rule. Add a third vector to investigate signed volume and coplanarity.
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Angles between vectors in 3D
Explore dot products, magnitudes, projections and angles. Switch between vectors and lines to compare directed angles with acute intersection angles.
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Angles between lines and planes in 3D
Compare two planes, two lines or a line and a plane. See angle arcs and formulas update as you change the geometry.
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