# Vectors 2:

- Created by: Catchupman
- Created on: 08-10-17 13:17

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Nat 5 info:

A vector is a quantity which has both direction and magnitude.

- The magnitude of a vector is its size or length.
- A directed line segment from A to B is defined as .
- A vector or force can also be defined by a lower-case letter in bold.
- Vectors are equal if they have the same direction and magnitude.
- When a vector has its direction reversed it is negative e.g.
**a**becomes**-a**. - A vector can be multiplied by a scalar e.g. doubling
**a**gives**2a**. - Vectors can be added by joining one to the end of another.
- Displacement is the shortest distance from A to B.
- A vector journey is a description of its displacement.
- The components of a vector describe the journey from A to B e.g. in 2D or in 3D.
- Arithmetic can be performed on the components e.g.

- The magnitude is calculated from the components using the Theorem of Pythagoras e.g. , and ,

**The Zero Vector:**

The zero vector has components in 2D…

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