ECOR 1101 Lecture Notes - Lecture 3: Dot Product, Cartesian Coordinate System
11 Jan 2017
School
Department
Course
Professor
Document Summary
Cartesian vectors / addition & subtraction of cartesian vectors. Students will be able to: represent a 3-d vector in a cartesian coordinate system, find the magnitude and coordinate angles of a 3-d vector, add vectors (forces) in 3-d space. ** alpha , beta and gamma are the three angles regarding a vector in 3-d space. It regards the resultant vector and one of the axes, depending on which angle used. They are not related such that the angles will not form 90, 180, or 270 degree angles. ** the projection of a resultant vector onto a single axis gives the component vector of that same axis. Ie. projecting the resultant vector onto the z axis will give you the z-component of that resultant vector. For a vector a with a magnitude of a vector is then defined as: If this is done, it will follow the characteristics of a unit vector: It is dimensionless/unitless (units will cancel when divided)
