1. Thanks for straightening that up!!
VECTORS

2. “a” is called the horizontal component
An ALGEBRAIC VECTOR in the Cartesian plane is defined by a couple (a,b). These are the components of a vector.
Move a units, horizontally
“a” is called the horizontal component
“b” is called the vertical component
Move b units, vertically
The zero vector is defined by (0,0)

3. Given the components, you can easily draw the vector from any given point…most easily from the origin

4. A vector with the components (9,-2), has an orientation of how much?
Use trig.

5. Determine the components of a vector given 2 endpoints
Given two points A (xA,yA) and B(xB,yB ), the vector BA has components:

7. u and v are equal if and only if the corresponding components of the two vectors are equal.

8. To calculate the norm of an algebraic vector:

9. Given
Some basic principles of vector addition and subtraction and multiplication by a scalar

10. For example:

11. Adding opposite vectors gives the zero vector

12. Note the difference between the following:
This is a vector
This is a point

13. Norm and Orientation of the sum vector
Use TRIG to get the components of any vectors