MATH 2374 Lecture Notes - Lecture 1: Parsing
Document Summary
To describe a line in the plane we need either. How to describe a line in higher dimensions. If you"re given two points p0 and p1, let. If you"re given a point p0 and a vector v, you"re ready to go. For a line, a point and a vector is needed. Line l passing through p0(x0,y0,z0) in the direction v= Let r0 be the position vector of p0. Let r be the position vector of p(x,y,z) on line. The vector r-r0 is parallel to c, so r-r0=tv for some scalar t r(t)=r0+t(v) Symmetric equations (solve parametric equations for t, set equal) Find equations for the line parsing through points p(9,7,2016) and q(2,10,1) Choosing a normal vector n that is orthogonal to the plane. Let p(x,y,z) be only other point on the plane. The angle between two planes equals the angle between their normal vectors. Find the line of intersection (they intersect since normals are not parallel)
