 11.2.1: In Exercises 14, plot the points on the same threedimensional coor...
 11.2.2: In Exercises 14, plot the points on the same threedimensional coor...
 11.2.3: In Exercises 14, plot the points on the same threedimensional coor...
 11.2.4: In Exercises 14, plot the points on the same threedimensional coor...
 11.2.5: In Exercises 5 and 6, approximate the coordinates of the points.
 11.2.6: In Exercises 5 and 6, approximate the coordinates of the points.
 11.2.7: In Exercises 710, find the coordinates of the point.The point is lo...
 11.2.8: In Exercises 710, find the coordinates of the point.The point is lo...
 11.2.9: In Exercises 710, find the coordinates of the point.The point is lo...
 11.2.10: In Exercises 710, find the coordinates of the point.The point is lo...
 11.2.11: Think About It What is the coordinate of any point in the plane?
 11.2.12: Think About It What is the coordinate of any point in the plane?
 11.2.13: In Exercises 1324, determine the location of a point that satisfies...
 11.2.14: In Exercises 1324, determine the location of a point that satisfies...
 11.2.15: In Exercises 1324, determine the location of a point that satisfies...
 11.2.16: In Exercises 1324, determine the location of a point that satisfies...
 11.2.17: In Exercises 1324, determine the location of a point that satisfies...
 11.2.18: In Exercises 1324, determine the location of a point that satisfies...
 11.2.19: In Exercises 1324, determine the location of a point that satisfies...
 11.2.20: In Exercises 1324, determine the location of a point that satisfies...
 11.2.21: In Exercises 1324, determine the location of a point that satisfies...
 11.2.22: In Exercises 1324, determine the location of a point that satisfies...
 11.2.23: In Exercises 1324, determine the location of a point that satisfies...
 11.2.24: In Exercises 1324, determine the location of a point that satisfies...
 11.2.25: In Exercises 2528, find the distance between the points.0, 0, 0, 5,...
 11.2.26: In Exercises 2528, find the distance between the points.
 11.2.27: In Exercises 2528, find the distance between the points.1, 2, 4, 6,...
 11.2.28: In Exercises 2528, find the distance between the points.2, 2, 3, 4,...
 11.2.29: In Exercises 2932, find the lengths of the sides of the triangle wi...
 11.2.30: In Exercises 2932, find the lengths of the sides of the triangle wi...
 11.2.31: In Exercises 2932, find the lengths of the sides of the triangle wi...
 11.2.32: In Exercises 2932, find the lengths of the sides of the triangle wi...
 11.2.33: Think About It The triangle in Exercise 29 is translated five units...
 11.2.34: Think About It The triangle in Exercise 30 is translated three unit...
 11.2.35: In Exercises 35 and 36, find the coordinates of the midpoint of the...
 11.2.36: In Exercises 35 and 36, find the coordinates of the midpoint of the...
 11.2.37: In Exercises 37 40, find the standard equation of the sphere.
 11.2.38: In Exercises 37 40, find the standard equation of the sphere.
 11.2.39: In Exercises 37 40, find the standard equation of the sphere.
 11.2.40: In Exercises 37 40, find the standard equation of the sphere.Center...
 11.2.41: In Exercises 41 44, complete the square to write the equation of th...
 11.2.42: In Exercises 41 44, complete the square to write the equation of th...
 11.2.43: In Exercises 41 44, complete the square to write the equation of th...
 11.2.44: In Exercises 41 44, complete the square to write the equation of th...
 11.2.45: In Exercises 4548, describe the solid satisfying the conditionx > 4...
 11.2.46: In Exercises 4548, describe the solid satisfying the condition
 11.2.47: In Exercises 4548, describe the solid satisfying the conditionx2 y2...
 11.2.48: In Exercises 4548, describe the solid satisfying the conditionx2 y2...
 11.2.49: In Exercises 4952, (a) find the component form of the vector v and ...
 11.2.50: In Exercises 4952, (a) find the component form of the vector v and ...
 11.2.51: In Exercises 4952, (a) find the component form of the vector v and ...
 11.2.52: In Exercises 4952, (a) find the component form of the vector v and ...
 11.2.53: In Exercises 5356, find the component form and magnitude of the vec...
 11.2.54: In Exercises 5356, find the component form and magnitude of the vec...
 11.2.55: In Exercises 5356, find the component form and magnitude of the vec...
 11.2.56: In Exercises 5356, find the component form and magnitude of the vec...
 11.2.57: In Exercises 57 and 58, the initial and terminal points of a vector...
 11.2.58: In Exercises 57 and 58, the initial and terminal points of a vector...
 11.2.59: In Exercises 59 and 60, the vector v and its initial point are give...
 11.2.60: In Exercises 59 and 60, the vector v and its initial point are give...
 11.2.61: In Exercises 61 and 62, find each scalar multiple of v and sketch i...
 11.2.62: In Exercises 61 and 62, find each scalar multiple of v and sketch i...
 11.2.63: In Exercises 6368, find the vector z, given that and w 4, 0, 4. z u...
 11.2.64: In Exercises 6368, find the vector z, given that and w 4, 0, 4.z u ...
 11.2.65: In Exercises 6368, find the vector z, given that and w 4, 0, 4.z 2u...
 11.2.66: In Exercises 6368, find the vector z, given that and w 4, 0, 4.
 11.2.67: In Exercises 6368, find the vector z, given that and w 4, 0, 4.
 11.2.68: In Exercises 6368, find the vector z, given that and w 4, 0, 4.2u v...
 11.2.69: In Exercises 6972, determine which of the vectors is (are) parallel...
 11.2.70: In Exercises 6972, determine which of the vectors is (are) parallel...
 11.2.71: In Exercises 6972, determine which of the vectors is (are) parallel...
 11.2.72: In Exercises 6972, determine which of the vectors is (are) parallel...
 11.2.73: In Exercises 7376, use vectors to determine whether the points are ...
 11.2.74: In Exercises 7376, use vectors to determine whether the points are ...
 11.2.75: In Exercises 7376, use vectors to determine whether the points are ...
 11.2.76: In Exercises 7376, use vectors to determine whether the points are ...
 11.2.77: In Exercises 77 and 78, use vectors to show that the points form th...
 11.2.78: In Exercises 77 and 78, use vectors to show that the points form th...
 11.2.79: In Exercises 7984, find the magnitude of v.v 0, 0, 0
 11.2.80: In Exercises 7984, find the magnitude of v.
 11.2.81: In Exercises 7984, find the magnitude of v.v i 2j 3k v
 11.2.82: In Exercises 7984, find the magnitude of v.v 4i 3j 7kv
 11.2.83: In Exercises 7984, find the magnitude of v.
 11.2.84: In Exercises 7984, find the magnitude of v.
 11.2.85: In Exercises 8588, find a unit vector (a) in the direction of u and...
 11.2.86: In Exercises 8588, find a unit vector (a) in the direction of u and...
 11.2.87: In Exercises 8588, find a unit vector (a) in the direction of u and...
 11.2.88: In Exercises 8588, find a unit vector (a) in the direction of u and...
 11.2.89: Programming You are given the component forms of the vectors and Wr...
 11.2.90: Programming Run the program you wrote in Exercise 89 for the vector...
 11.2.91: In Exercises 91 and 92, determine the values of that satisfy the eq...
 11.2.92: In Exercises 91 and 92, determine the values of that satisfy the eq...
 11.2.93: In Exercises 9396, find the vector v with the given magnitude and d...
 11.2.94: In Exercises 9396, find the vector v with the given magnitude and d...
 11.2.95: In Exercises 9396, find the vector v with the given magnitude and d...
 11.2.96: In Exercises 9396, find the vector v with the given magnitude and d...
 11.2.97: In Exercises 97 and 98, sketch the vector v and write its component...
 11.2.98: In Exercises 97 and 98, sketch the vector v and write its component...
 11.2.99: In Exercises 99 and 100, use vectors to find the point that lies tw...
 11.2.100: In Exercises 99 and 100, use vectors to find the point that lies tw...
 11.2.101: Let and (a) Sketch and (b) If show that and must both be zero. (c) ...
 11.2.102: Writing The initial and terminal points of the vector are and Descr...
 11.2.103: A point in the threedimensional coordinate system has coordinates ...
 11.2.104: Give the formula for the distance between the points
 11.2.105: Give the standard equation of a sphere of radius centered at x0, y0...
 11.2.106: State the definition of parallel vectors.
 11.2.107: Let and be vertices of a triangle. Find B\ BC\ CA\
 11.2.108: Let and Describe the set of all points such that r r0 x, y, z 2.r
 11.2.109: Numerical, Graphical, and Analytic Analysis The lights in an audito...
 11.2.110: Think About It Suppose the length of each cable in Exercise 109 has...
 11.2.111: Diagonal of a Cube Find the component form of the unit vector in th...
 11.2.112: Tower Guy Wire The guy wire to a 100foot tower has a tension of 55...
 11.2.113: Load Supports Find the tension in each of the supporting cables in ...
 11.2.114: Construction A precast concrete wall is temporarily kept in its ver...
 11.2.115: Write an equation whose graph consists of the set of points that ar...
Solutions for Chapter 11.2: Space Coordinates and Vectors in Space
Full solutions for Calculus: Early Transcendental Functions  4th Edition
ISBN: 9780618606245
Solutions for Chapter 11.2: Space Coordinates and Vectors in Space
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 11.2: Space Coordinates and Vectors in Space includes 115 full stepbystep solutions. Since 115 problems in chapter 11.2: Space Coordinates and Vectors in Space have been answered, more than 44758 students have viewed full stepbystep solutions from this chapter. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245.

Bar chart
A rectangular graphical display of categorical data.

Blocking
A feature of some experimental designs that controls for potential differences between subject groups by applying treatments randomly within homogeneous blocks of subjects

Complex plane
A coordinate plane used to represent the complex numbers. The xaxis of the complex plane is called the real axis and the yaxis is the imaginary axis

Conic section (or conic)
A curve obtained by intersecting a doublenapped right circular cone with a plane

Constant function (on an interval)
ƒ(x 1) = ƒ(x 2) x for any x1 and x2 (in the interval)

End behavior
The behavior of a graph of a function as.

Extracting square roots
A method for solving equations in the form x 2 = k.

Extraneous solution
Any solution of the resulting equation that is not a solution of the original equation.

Geometric series
A series whose terms form a geometric sequence.

Identity
An equation that is always true throughout its domain.

Line graph
A graph of data in which consecutive data points are connected by line segments

Multiplication property of inequality
If u < v and c > 0, then uc < vc. If u < and c < 0, then uc > vc

Newton’s law of cooling
T1t2 = Tm + 1T0  Tm2ekt

Parallel lines
Two lines that are both vertical or have equal slopes.

Rational zeros theorem
A procedure for finding the possible rational zeros of a polynomial.

Sample space
Set of all possible outcomes of an experiment.

Symmetric difference quotient of ƒ at a
ƒ(x + h)  ƒ(x  h) 2h

Terms of a sequence
The range elements of a sequence.

Vertex of a parabola
The point of intersection of a parabola and its line of symmetry.

Ymin
The yvalue of the bottom of the viewing window.