MAC 2313 - Section 02 - Spring 2007
Related Pages: Course Home Page | Syllabus | Homework
Calculators will be allowed for the test.
Chapter 12 - Vectors and the Geometry of Space
Vectors
vector properties: addition, subtraction, scalar multiplcation, zero vector
vector components, resolving a vector into components
vector between 2 points, distance between 2 points
magnitude, length
unit vector
dot product: geometric and algebraic definitions, interpretation and
properties
cross product: geometric and algebraic definitions, interpretation and
properties
normal vector, orthogonality
direction angles and direction cosines
scalar and vector projections
applications:
angle between 2 vectors, perpendicularity, normal vectors, work,
vector problems dealing with velocity and direction of heading, tension
problems, equation
of a plane, area of a rectangle or triangle, volume of a parallelepiped
Lines and Planes and Surfaces
3d coordinate systems
equation of a sphere
distance: between 2 points, a point and a plane
equations of a line: vector, parametric, symmetric equations
equations of a plane: vector, scalar, linear equations
surfaces on page 836
be able to investigate, interpret, identify, plot and visualize/sketch
functions of several variables (including linear functions)
applications: determine if lines intersect or are parallel,
determine if 2 planes interesect or are parallel, determine the point of
interestion of 2 lines, determine the line of intersection of 2 planes,
distance from a point to a plane, angle of intersection between 2 planes
spherical coordinates
cylindrical coordinates
Review Homework for Chapter 12, pg 845: #1 ,3-7, 10-13, 15-21, 23-34, 37-46, 48
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Copyright 2007 by Monica K. Hurdal. All rights reserved.
