Study Guide for Stewart's Multivariable Calculus, 8th
Study Guide for Stewart's Multivariable Calculus, 8th
8th Edition
ISBN: 9781305271845
Author: Stewart, James
Publisher: Brooks Cole
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Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…
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In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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Textbook Question
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Chapter 12.5, Problem 1PT

The equation of the line through (4, 10, 8) and (3, 5, 1) is:

  1. a) x − 4 3 = y − 10 5 = z − 8 1
  2. b) x − 3 4 = y − 5 10 = z − 1 8
  3. c) x − 3 7 = y − 5 15 = z − 1 9
  4. d) x − 4 1 = y − 10 5 = z − 8 7
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Chapter 12 Solutions

Study Guide for Stewart's Multivariable Calculus, 8th

Ch. 12.1 - Prob. 1PTCh. 12.1 - Prob. 2PTCh. 12.1 - Prob. 3PTCh. 12.1 - Prob. 4PTCh. 12.1 - Prob. 5PTCh. 12.2 - Prob. 1PTCh. 12.2 - Prob. 2PTCh. 12.2 - Prob. 3PTCh. 12.2 - Prob. 4PTCh. 12.2 - Prob. 5PT
Ch. 12.2 - Prob. 6PTCh. 12.3 - For a = 2i + 3j 4k and b = i + 2j k, a b = a) 0...Ch. 12.3 - Prob. 2PTCh. 12.3 - Prob. 3PTCh. 12.3 - Prob. 4PTCh. 12.3 - Prob. 5PTCh. 12.3 - Prob. 6PTCh. 12.4 - Prob. 1PTCh. 12.4 - Prob. 2PTCh. 12.4 - Prob. 3PTCh. 12.4 - Prob. 4PTCh. 12.4 - Prob. 5PTCh. 12.4 - Prob. 6PTCh. 12.5 - The equation of the line through (4, 10, 8) and...Ch. 12.5 - True or False: These lines are skew:...Ch. 12.5 - The equation of the plane through 7, 2, 3 with...Ch. 12.5 - The equation of the plane formed by the two lines...Ch. 12.5 - The distance from (1, 2, 1) to the plane 6x + 5y +...Ch. 12.5 - A normal vector to the plane 2x + 3y + 6z =20 is:...Ch. 12.6 - Prob. 1PTCh. 12.6 - Prob. 2PTCh. 12.6 - Prob. 3PTCh. 12.6 - The graph at the right has equation: a)...Ch. 12.6 - Prob. 5PTCh. 12.6 - Prob. 6PT
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