Vectors

Vectors

1. An arrow with...

   • a.) Direction
     • Direction symbol
       • \[\overrightarrow{a b} \]
       • Check the note
         • \[\overrightarrow{a b} \]
     • x and y directions
   • b.) Magnitude
     • Sq. root of (x^2+y^2)
       • 2D
     • Sq. root of (x^2+y^2+z^2)
       • 3D
     • How long it is

2. Writing

   • Column Vector
     • Component form
       • x and y
         • 2D
       • x, y and z
         • 3D
       • Parallel Vector
         • Two vectors u and v are parallel if and only if u = kv where k is a constant.
         • Line segments have common direction

3. Definition

   • A vector is a set of instructions for moving from one point to another in three dimensions.
   • A line which has both magnitude and direction can represent this vector.

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