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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.

Magnitude of a Vector
Resume

The relation \(|a\,{\bf i}+b\,{\bf j}+c\,{\bf k}|=\sqrt{a^2+b^2+c^2}\).

Lesson Not yet graded
Unit Vectors
Resume

"Pure direction": the vector of length 1 parallel to a given vector.

Lesson Not yet graded

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.

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