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.

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

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:

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