Analytic geometry
Distances and angles
Point distances and angles between lines, vectors and planes.
Analytic geometry
Distance between 2D points
d = √((x₂−x₁)²+(y₂−y₁)²)→Analytic geometryDistance between 3D points
d = √(Δx²+Δy²+Δz²)→Analytic geometryPoint-to-line distance
d = |Ax₀+By₀+C|/√(A²+B²)→Analytic geometryDistance between parallel lines
d = |C₂−C₁|/√(A²+B²)→Analytic geometryPoint-to-plane distance
d = |Ax₀+By₀+Cz₀+D|/√(A²+B²+C²)→Analytic geometryAngle between lines from slopes
tan θ = |(k₂−k₁)/(1+k₁k₂)|→Analytic geometryAngle between planes
θ = arccos(|n₁·n₂|/(|n₁||n₂|))→