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Vectors (Metric)
Class Details
Tom Baker
Learn, or revise, vector quantities, the scalar product and the vector equations of lines and planes.
Units
Introduction to Vectors
Vectors, and their magnitude and direction.
Vector Equation of a Line
The equation of a line in 3D.
The Scalar Product
The scalar product of two vectors, and using it to calculate angles.
Vector Equation of a Plane
The equation of a plane in 3D.
The equation of a plane through a given point, perpendicular to a given vector.
Distance of a plane from the origin, and distance between two parallel planes.
The scalar product \({\bf a}\times{\bf b}=a\,b\,\sin\theta\,{\bf n}\), and using it to calculate a vector perpendicular to two given vectors.
The triple product \({\bf a}\cdot({\bf b}\times{\bf c})\) and its applications.
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