Vectors

• Vectors are a way to describe a translation from A to B
• Vectors have magnitude and direction
• Vector AB is represented by an arrow above the notation
• Vector AB is represented by an arrow above the notation
• Quantities that only have magnitude are called scalars
• Quantities that only have magnitude are called scalars
• Vectors are parallel if one is a multiple of the other
• Vectors that are reversed are equal to each other but are negative
• Vectors can be multipled by scalars
• Vectors can be multipled by scalars
• When a vector is multiplied by a scalar, the resulting vector is either parallel to the original vector or lies on the same line
• When a vector is parallel to another vector (or lies on the same line), it can be written as a scalar, λ, where λ is a non-zero scalar
• The rules of algebra still apply to vectors
• Vectors are represented quantitatively as columns or by using i and j expressions
• ¦a¦ = magnitude of a
• Position Vector: Relative to a fixed position
• If a and b are two non-parallel vectors and pa + qb = ra + sb then p = r and q = s
• Bearings are

  • Measured from the North
  • Clockwise
  • Notated with 3 Digits