1. Math with Vectors I. Math Operations with Vectors.
A) Adding/Subtracting vectors (in component form).
1) Given v + u = =
a) Just add the x values, & add the y values.
2) Given v – u = =
a) Just subtract the x values, & subtract y values.
B) Scalar multiplication (multiplying a vector by a #).
1) Given nv =
a) Just multiply the coordinates by n.

2. Math with Vectors
II. Properties of Vector Addition & Scalar Multiplication.

3. Math with Vectors III. Unit Vectors.
A) Unit vector = a vector whose length is = to 1 unit.
B) Finding the Unit vector.
1) Unit vector = =
a) Divide the coordinates by the mag.
Example:

4. Math with Vectors III. Unit Vectors.
C) Standard Unit vector: the unit vectors
<1, 0> & <0,1>
1) and so if
v = then v =