 11.2.1: Plotting Points In Exercises 14, plot the points in the same three...
 11.2.2: Plotting Points In Exercises 14, plot the points in the same three...
 11.2.3: Plotting Points In Exercises 14, plot the points in the same three...
 11.2.4: Plotting Points In Exercises 14, plot the points in the same three...
 11.2.5: The point is located three units behind the plane, four units to th...
 11.2.6: The point is located seven units in front of the plane, two units t...
 11.2.7: The point is located on the axis, 12 units in front of the plane.
 11.2.8: The point is located in the plane, three units to the right of the ...
 11.2.9: Think About It What is the coordinate of any point in the plane?
 11.2.10: Think About It What is the coordinate of any point in the plane?
 11.2.11: Using the ThreeDimensional Coordinate System In Exercises 1122, de...
 11.2.12: Using the ThreeDimensional Coordinate System In Exercises 1122, de...
 11.2.13: Using the ThreeDimensional Coordinate System In Exercises 1122, de...
 11.2.14: Using the ThreeDimensional Coordinate System In Exercises 1122, de...
 11.2.15: Using the ThreeDimensional Coordinate System In Exercises 1122, de...
 11.2.16: Using the ThreeDimensional Coordinate System In Exercises 1122, de...
 11.2.17: Using the ThreeDimensional Coordinate System In Exercises 1122, de...
 11.2.18: Using the ThreeDimensional Coordinate System In Exercises 1122, de...
 11.2.19: Using the ThreeDimensional Coordinate System In Exercises 1122, de...
 11.2.20: Using the ThreeDimensional Coordinate System In Exercises 1122, de...
 11.2.21: Using the ThreeDimensional Coordinate System In Exercises 1122, de...
 11.2.22: Using the ThreeDimensional Coordinate System In Exercises 1122, de...
 11.2.23: Finding the Distance Between Two Points in Space In Exercises 2326,...
 11.2.24: Finding the Distance Between Two Points in Space In Exercises 2326,...
 11.2.25: Finding the Distance Between Two Points in Space In Exercises 2326,...
 11.2.26: Finding the Distance Between Two Points in Space In Exercises 2326,...
 11.2.27: Classifying a Triangle In Exercises 2730, find the lengths of the s...
 11.2.28: Classifying a Triangle In Exercises 2730, find the lengths of the s...
 11.2.29: Classifying a Triangle In Exercises 2730, find the lengths of the s...
 11.2.30: Classifying a Triangle In Exercises 2730, find the lengths of the s...
 11.2.31: Think About It The triangle in Exercise 27 is translated five units...
 11.2.32: Think About It The triangle in Exercise 28 is translated three unit...
 11.2.33: Finding the Midpoint In Exercises 3336, find the coordinates of the...
 11.2.34: Finding the Midpoint In Exercises 3336, find the coordinates of the...
 11.2.35: Finding the Midpoint In Exercises 3336, find the coordinates of the...
 11.2.36: Finding the Midpoint In Exercises 3336, find the coordinates of the...
 11.2.37: Finding the Equation of a Sphere In Exercises 3740, find the standa...
 11.2.38: Finding the Equation of a Sphere In Exercises 3740, find the standa...
 11.2.39: Finding the Equation of a Sphere In Exercises 3740, find the standa...
 11.2.40: Finding the Equation of a Sphere In Exercises 3740, find the standa...
 11.2.41: Finding the Equation of a Sphere In Exercises 4144, complete the sq...
 11.2.42: Finding the Equation of a Sphere In Exercises 4144, complete the sq...
 11.2.43: Finding the Equation of a Sphere In Exercises 4144, complete the sq...
 11.2.44: Finding the Equation of a Sphere In Exercises 4144, complete the sq...
 11.2.45: Finding the Component Form of a Vector in Space In Exercises 4548, ...
 11.2.46: Finding the Component Form of a Vector in Space In Exercises 4548, ...
 11.2.47: Finding the Component Form of a Vector in Space In Exercises 4548, ...
 11.2.48: Finding the Component Form of a Vector in Space In Exercises 4548, ...
 11.2.49: Finding the Component Form of a Vector in Space In Exercises 49 and...
 11.2.50: Finding the Component Form of a Vector in Space In Exercises 49 and...
 11.2.51: Writing a Vector in Different Forms In Exercises 51 and 52, the ini...
 11.2.52: Writing a Vector in Different Forms In Exercises 51 and 52, the ini...
 11.2.53: Finding a Terminal Point In Exercises 53 and 54, the vector and its...
 11.2.54: Finding a Terminal Point In Exercises 53 and 54, the vector and its...
 11.2.55: Finding Scalar Multiples In Exercises 55 and 56, find each scalar m...
 11.2.56: Finding Scalar Multiples In Exercises 55 and 56, find each scalar m...
 11.2.57: Finding a Vector In Exercises 5760, find the vector given that and
 11.2.58: Finding a Vector In Exercises 5760, find the vector given that and
 11.2.59: Finding a Vector In Exercises 5760, find the vector given that and
 11.2.60: Finding a Vector In Exercises 5760, find the vector given that and
 11.2.61: Parallel Vectors In Exercises 6164, determine which of the vectors ...
 11.2.62: Parallel Vectors In Exercises 6164, determine which of the vectors ...
 11.2.63: Parallel Vectors In Exercises 6164, determine which of the vectors ...
 11.2.64: Parallel Vectors In Exercises 6164, determine which of the vectors ...
 11.2.65: Using Vectors to Determine Collinear Points In Exercises 6568, use ...
 11.2.66: Using Vectors to Determine Collinear Points In Exercises 6568, use ...
 11.2.67: Using Vectors to Determine Collinear Points In Exercises 6568, use ...
 11.2.68: Using Vectors to Determine Collinear Points In Exercises 6568, use ...
 11.2.69: Verifying a Parallelogram In Exercises 69 and 70, use vectors to sh...
 11.2.70: Verifying a Parallelogram In Exercises 69 and 70, use vectors to sh...
 11.2.71: Finding the Magnitude In Exercises 7176, find the magnitude of v
 11.2.72: Finding the Magnitude In Exercises 7176, find the magnitude of v
 11.2.73: Finding the Magnitude In Exercises 7176, find the magnitude of v
 11.2.74: Finding the Magnitude In Exercises 7176, find the magnitude of v
 11.2.75: Finding the Magnitude In Exercises 7176, find the magnitude of v
 11.2.76: Finding the Magnitude In Exercises 7176, find the magnitude of v
 11.2.77: Finding Unit Vectors In Exercises 7780, find a unit vector (a) in t...
 11.2.78: Finding Unit Vectors In Exercises 7780, find a unit vector (a) in t...
 11.2.79: Finding Unit Vectors In Exercises 7780, find a unit vector (a) in t...
 11.2.80: Finding Unit Vectors In Exercises 7780, find a unit vector (a) in t...
 11.2.81: Using Vectors Consider the two nonzero vectors and and let and be r...
 11.2.82: HOW DO YOU SEE IT? Determine for each figure. Then find the compone...
 11.2.83: Finding a Vector In Exercises 8386, find the vector with the given ...
 11.2.84: Finding a Vector In Exercises 8386, find the vector with the given ...
 11.2.85: Finding a Vector In Exercises 8386, find the vector with the given ...
 11.2.86: Finding a Vector In Exercises 8386, find the vector with the given ...
 11.2.87: lies in the plane, has magnitude 2, and makes an angle of 30_ with ...
 11.2.88: lies in the plane, has magnitude 5, and makes an angle of with the ...
 11.2.89: Finding a Point Using Vectors In Exercises 89 and 90, use vectors t...
 11.2.90: Finding a Point Using Vectors In Exercises 89 and 90, use vectors t...
 11.2.91: Using Vectors Let and (a) Sketch and (b) If show that and must both...
 11.2.92: Writing The initial and terminal points of the vector are and Descr...
 11.2.93: Describing Coordinates A point in the threedimensional coordinate s...
 11.2.94: Distance Formula Give the formula for the distance between the poin...
 11.2.95: Standard Equation of a Sphere Give the standard equation of a spher...
 11.2.96: Parallel Vectors State the definition of parallel vectors.
 11.2.97: Using a Triangle and Vectors Let and be vertices of a triangle. Find
 11.2.98: Using Vectors Let and Describe the set of all points such that
 11.2.99: Diagonal of a Cube Find the component form of the unit vector in th...
 11.2.100: Tower Guy Wire The guy wire supporting a 100foot tower has a tensi...
 11.2.101: Auditorium Lights The lights in an auditorium are 24pound discs of...
 11.2.102: Think About It Suppose the length of each cable in Exercise 101 has...
 11.2.103: Load Supports Find the tension in each of the supporting cables in ...
 11.2.104: Construction A precast concrete wall is temporarily kept in its ver...
 11.2.105: Geometry Write an equation whose graph consists of the set of point...
Solutions for Chapter 11.2: Space Coordinates and Vectors in Space
Full solutions for Calculus: Early Transcendental Functions  6th Edition
ISBN: 9781285774770
Solutions for Chapter 11.2: Space Coordinates and Vectors in Space
Get Full SolutionsSince 105 problems in chapter 11.2: Space Coordinates and Vectors in Space have been answered, more than 47991 students have viewed full stepbystep solutions from this chapter. Chapter 11.2: Space Coordinates and Vectors in Space includes 105 full stepbystep solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6.

Argument of a complex number
The argument of a + bi is the direction angle of the vector {a,b}.

Complex number
An expression a + bi, where a (the real part) and b (the imaginary part) are real numbers

Cosine
The function y = cos x

Derivative of ƒ
The function defined by ƒ'(x) = limh:0ƒ(x + h)  ƒ(x)h for all of x where the limit exists

Function
A relation that associates each value in the domain with exactly one value in the range.

Identity matrix
A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

Inverse tangent function
The function y = tan1 x

Mean (of a set of data)
The sum of all the data divided by the total number of items

Nappe
See Right circular cone.

nth root of a complex number z
A complex number v such that vn = z

Parameter
See Parametric equations.

PH
The measure of acidity

Quadratic regression
A procedure for fitting a quadratic function to a set of data.

Real number line
A horizontal line that represents the set of real numbers.

Reflection
Two points that are symmetric with respect to a lineor a point.

Slant line
A line that is neither horizontal nor vertical

Sum of complex numbers
(a + bi) + (c + di) = (a + c) + (b + d)i

Terms of a sequence
The range elements of a sequence.

Time plot
A line graph in which time is measured on the horizontal axis.

Ymax
The yvalue of the top of the viewing window.