Vectors (Part II)

• The set of all n-tuples of real numbers, denoted by Rⁿ, is called n-space.
• A particular n-tuple in Rⁿ is called a point or vector. Can be written as:
  u = (u₁, u₂, …, u_n)
• The real numbers u_i are called the components/elements (scalar) of the vector u
• Two vectors u and v are equal, written u = v, if they have the same number of components and if corresponding components are equal
• The same vectors operations are applied
• –u = -1u
• u – v = u + (-v)

Next: Basic properties of the vectors in Rⁿ.