COMPONENT FORM

A vector is a directed line segment, which has both magnitude (length) and direction (angle). The directed line segment has an initial point  P and a terminal point  Q. 

Component form of a vector describes a vector by its x and y components, as if the vector is placed with its initial point at the origin. 

Khan Academy Practice:

• Calculating Component Form

MAGNITUDE AND  DIRECTION

Magnitude is simply the length of the vector. It is denoted with vertical bars around the name of the vector, such as ||v||. Direction is the angle the vector is pointing. To help determine the direction of a vector, use the component form of a vector to identify which quadrant the vector lies in.  

Khan Academy Practice:

• Calculating Magnitude 

• Calculating Direction

• Calculating Magnitude and Direction