Thanks for straightening that up!! VECTORS

“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)

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

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

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

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

To calculate the norm of an algebraic vector:

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

For example:

Adding opposite vectors gives the zero vector

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

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