MATH 14 Chapter Notes - Chapter 11.1, 12.1, 12.5, & 12.6: Quadric, Ween, Vector Projection

• School: Santa Clara University
• Department: Mathematics and Computer Science
• Course: MATH 14
• Professor: Daniel Ostrov

Document Summary

Vector equation for a line through p0(x0, y0, z0) parallel to v is. Distance from the point s to a line through p parallel to v. The distance from a point s to a plane with normal n at point p. Identify the path traced by the particle and describe the motion. When x - y = ( t + When x + y = ( t + So we have (x - y) (x + y) = ( X 2 - y 2 = 4, where x > 0. Geometric interpretations of inequalities and equations involving spheres. x 2 + y 2 + z 2 < 4 x 2 + y 2 + z 2 4 x 2 + y 2 + z 2 > 4 x 2 + y 2 + z 2 = 4, z 0. The interior of the sphere x 2 + y 2 + z 2 = 4.