"average velocity vector" speed "average speed" pdf acceleration
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#1 magnitude of vector
sqrt(v)
#2 unit vector
v/(magnitude)
#3 dot product, cross product
x*xn+y*yn , matrix hide column
#5 angle udotv//magnitude(udotv)
acute <90 , right =90 , obtuse >90
#6 vector parametrization
r = a + t(b-a)
#7 speed of vector
magnitude of velocity then apply t
#8 integral of curve
int , l<t<h , 1*sqrt(x't^2+y't^2+z't^2)dt
#9 gradient
df/dx i + df/dy j + df/dz k
#10 directional derivative Duf= gradientF dot unitv
1. Gradient of f , 2. Apply point , 3. Find unit vector
4. gradientF dot unitv