Vector

A vector is a quantity that describes both magnitude and direction.

Vector Types

• Unit Vector

Vector Relationships

• Vector Equivalence
• Opposite Vectors
• Colinear Vectors
• Co-planar Vectors
• Orthogonal Vectors

Vector Concepts

• Vector Addition
• Vector Subtraction
• Vector Scalar Multiplication
• Vector Magnitude
• Component Vector Operations
• Turning Vectors Into Unit Vectors
• Spanning Set

2D Vectors

Represented by $\overrightarrow{[x,y]}$

Standard Unit Vectors

• $i=\overrightarrow{[1,0]}$
• $j=\overrightarrow{[0,1]}$

Special Vector Types

• 2D Position Vector
• 2D Direction Vector

3D Vectors

Represented by $\overrightarrow{[x,y,z]}$

Standard Unit Vectors

• $i=\overrightarrow{[1,0,0]}$
• $j=\overrightarrow{[0,1,0]}$
• $k=\overrightarrow{[0,0,1]}$