Section 2
Vector Functions
Book
Version 1
By Boundless
By Boundless
Boundless Calculus
Calculus
by Boundless
6 concepts
Vector-Valued Functions
A vector function covers a set of multidimensional vectors at the intersection of the domains of
Arc Length and Speed
Arc length and speed are, respectively, a function of position and its derivative with respect to time.
Calculus of Vector-Valued Functions
A vector function is a function that can behave as a group of individual vectors and can perform differential and integral operations.
Arc Length and Curvature
The curvature of an object is the degree to which it deviates from being flat and can be found using arc length.
Planetary Motion According to Kepler and Newton
Kepler explained that the planets move in an ellipse around the Sun, which is at one of the two foci of the ellipse.
Tangent Vectors and Normal Vectors
A vector is normal to another vector if the intersection of the two form a 90-degree angle at the tangent point.