3-D and Vectors
Equations of lines and planes
Quadric surfaces
Vector functions
Physics
100
Is the rule used to determine the direction of the z axis
What is right-hand rule
100
also known as r'(t)/||r'(t)||
What is unit tangent vector
100
derivative of the position vector
What is velocity vector
200
(x-h)^2 +(y-k)^2 +(z-l) = r^2 is the general equation for this solid
What is the equation of a sphere
200
is ane example of t=(x-x0)/a where a is a constant
What is symmetric equation
200
is a figure when all its traces are ellipses
What is ellipsoid
200
is found by taking the integral of the magnitude of derivative of the postion function from a to b
What is arc length
200
derivative of the velocity vector
What is acceleration vector
300
these two laws can be used to illustrate the sum of two vectors
What is the triangle and parallelogram law
300
are lines that dont intersect and are not parallel
What is skew lines
300
Horizontal traces are ellipses vertical traces are parabolas
What is elliptic paraboloids
300
is a measure of how quickly the curve changes direction at that point
What is curvature
300
the magnitude of the velocity vector
What is speed
400
happens to the plane when the normal vectors of two planes are parallel
What is parallel planes
400
horizontal traces are hyperbolas vertical traces are parabolas
What is hyperbolic paraboloid
400
is defined as F=ma
What is Newtons second law of Motion
500
is a vector that is a "representation" of another vector
What is position vector
500
is a equation in the form ax+by+cz+d=0
What is linear equation
500
quadric surface that takes the form -x^2-y^2+z^2=1
What is hyperboloid of two sheets
500
the process of substituting in terms of "s" instead of "t" in the arc length
What is reparametrization
500
the ONLY force that acts on the ball when proving the parametric equations of trajectory
What is -mg j* *=vector j
M
e
n
u