Degrees to Radians
Radians to Degrees
A 2D vector is similar to a point on a graph, but represents a direction and a magnitude.
Adding and Subtracting Vectors
Add or Subtract
all x values
all y values
all z values
to get the new vector.
Multiply each component of the vector by the value given.
ex. the vector(2,5) multiplied by 2 becomes
Calculating the Magnitude of a Vector
Use the Pythagorean Theorem
magnitude =√ a2+b2
magnitude =√ a2+b2+c2
Mathematicians place two vertical bars around a vector to denote its lenght |v|
When a vector is normalized it retains its direction but its magnitude is recalculated so that it is of unit lenght (a length of 1).
N = v/|v| (divide each component of the vector, by the magnitude of the vector)
The Dot Product
gives the angle between two vectors
u*v = ux*vx+uy*vy (not an angle)
The easiest way to get an angle is to normalize u and v and multiply them together
Measured in Seconds
d - measured in meters
m -measured in kilograms
measured from the center of mass
(a dropped object) v2=v02+2ad
Gravity Constant Acceleration