Ross Heaton’s Weblog
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Geometry (4)
Linear Algebra (2)
Mathematics (3)
Matrices (1)
Mechanics (1)
Robotics (1)
Rotation (1)
Trigonometry (3)
Vectors (2)

The Dot Product

Mathematics
Geometry
Linear Algebra
Trigonometry
Vectors
A look at the dot product and its geometric interpretation.
3rd May, 2025

A Flexible Definition of sinθ and cosθ

Mathematics
Geometry
Trigonometry
Generalising the unit circle.
1st May, 2025

Deriving the Rotation Matrix R(θ) for a Two-Dimensional Vector

Mathematics
Linear Algebra
Geometry
Vectors
Matrices
Rotation
Trigonometry
How the 2D rotation matrix arises from rotating the individual components of a vector.
29th April, 2025

Degrees of Freedom in Robotics

Robotics
Mechanics
Geometry
A degree of freedom is the ability of a rigid body to move in an independent (distinct) way.
27th April, 2025
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