Vectors 2:

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…