Vectors

Vectors can be written in many ways. The most common are: v =

or: v =

Vector.

Magnitude.

Direction.

In geometry, a vector can describe a movement from one point to another. The vector [3, 2] says go 3 right and 2 up.

The sum of two vectors (

) is found by moving the vector b until the tail meets the head of vector a. (This does not change vector b). Then, the line from the tail of a to the head of b

-a is the opposite of +a.

Vectors can be modified by adding, subtracting, or multiplying a scalar (number) from all the vector values: a = [1 1 1]

[1 2 3] + 1 = [2 3 4] Vector multiplications has much of the same properties as normal multiplication: [2 2 2] * 3 = [6 6 6] [6 6 6] / 3 = [2 2 2]

Force is a Vector.