I) Vectors and Scalars
   A) A vector possesses both a magnitude and a direction.
      1) Force, weight, pressure, torque, are  examples of kinetic vector quantities.
      2) Displacement, velocity, and acceleration are examples of kinematic vector quantities.
   B) Vectors are represented by arrow shaped symbols. The length of the arrow represents the magnitude of the vector.  The arrow also indicates direction.
     (tail & head(point))
   C) Scalars possess a magnitude, but often lack any particular  direction. Speed, temperature, volume, length, and mass  are examples of scalar quantities.

II) Practical Application of Vectors
   A) When more than one external force is applied to an object  or system simultaneously, all forces must be taken into consideration. The net effect (resultant) of these forces will determine the final magnitude and direction of the object.
   B) Vectors will be utilized throughout kinesiology to describe the motion of a system or object.
      1) Examples include:
         a) The amount of resultant propulsive force in swimming.
         b) The velocity of a baseball as it is struck by a bat.
         c) The amount of muscle force needed to produce movement.
         d) The acceleration of a bungee jumper as they fall.
      2) Instances where vectors are utilized are many. Check out next section.

III) Practical examples (illustrations) of vectors at work.

A. A Shot put and javelin have a verticle and horizontal  velocity. Illustrate both the verticle, horizontal and resultant velocity vectors of a shot put and javelin.
 
 
 
 
 
 
 
 
 
 
 

B.  Bernoulli’s theorem explains lift force
Daniel Bernoulli, a Swiss scientist, identified an inverse  relationship between the velocity of fluid and pressure. Explain Bernoulli’s theorem and
 
 

1. Illustrate the lift force on an airplane wing
 
 
 

2.  A swimmer’s hand generates both lift and drag force in the  water.(illustrate these forces)
 
 
 
 
 
 

C. Muscle’s generate both rotatory and stabilizing forces. Draw out rotatory, stabilizing, and total  forces provided by muscle. Illustrate forces as vectors.
 
 
 
 
 
 
 
 
 

D.  Drawing of vectors can help one understand the direction,amount of a force and/or velocity acting on a basketball, tennis ball, or acting on an individual while running, cross country skiing, jumping, doing aerobic dance, and step aerobics. Pick several of the above skills and apply vectors to illustrate either force and/or velocity components.