Vectors 

Note: Vectors are indicated using the "boldletter" notation.
Q: How do you geometrically subtract two vectors? A: If you have two vectors a and b and want to subtract them. First you need to reverse the direction of vector b so that it becomes vector b. Then you would take vector b and place its tail at the end of vector a. Then you would draw a line from the tail of a to the head of b. This line is your new vector with its head at the head of b. Example: If we have vector a and want to subtract vector b. First we reverse the direction of b. This will give us b which we can then add to a. => Now we place the tail of vector b at the head of vector a. A new vector, d, can be drawn from the tail of vector a to the head of vector b. + =

Q: How do you geometrically add two vectors? A: If you have two vectors a and b and want to add them. Then you would take vector b and place its tail at the end of vector a. Then you would draw a line from the tail of a to the head of b. This line is your new vector with its head at the head of b. Example: If we have a vector a and want to add it to a vector b. We place the tail of vector b at the head of vector a. A new vector, c, can be drawn from the tail of vector a to the head of vector b. + =

Q: What is the difference between a scalar and a vector?A: Scalar have magnitude only. Vectors have a magnitude plus a direction.Example: Temperature and speed are scalars because they
only have a magnitude. Velocity and displacement are vectors
because they have a magnitude and a direction.

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A two dimensional vector a
has two components, a_{x} and a_{y}, the values for
these components are found by drawing lines from the end of a
to the coordinate axis. Thus Given the components of a vector we can reconstruct the vector from 
Unit vectors are vectors with a magnitude of one and pointing in a particular direction. The sole purpose of unit vectors is specify direction. In the Three Dimensional Cartesian System: is the
unit vector in the positive x direction A vector can be decomposed into its , , and components by breaking the vector into magnitudes on the x, y, and z axis respectfully. 
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