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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.

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

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

### 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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