 11.4.21E: Area of a parallelogram Find the area of the parallelogram that has...
 11.4.23E: Computing cross products Find the cross products u × v and v × u fo...
 11.4.11E: Cross products from the definition Sketch the following vectors u a...
 11.4.20E: Area of a parallelogram Find the area of the parallelogram that has...
 11.4.17E: Coordinate unit vectors Compute the following cross products. Then ...
 11.4.31E: Normal vectors Find a vector normal to the given vectors.?8, 0, 4? ...
 11.4.49E: Areas of triangles Find the area of the following triangles T.The v...
 11.4.60AE: Three proofs Prove that u × u = 0 in three ways.a. Use the definiti...
 11.4.14E: Coordinate unit vectors Compute the following cross products. Then ...
 11.4.30E: Normal vectors Find a vector normal to the given vectors.?1, 2, 3? ...
 11.4.22E: Area of a parallelogram Find the area of the parallelogram that has...
 11.4.54E: Scalar triple product Another operation with vectors is the scalar ...
 11.4.59E: Electron speed An electron with a mass of 9.1 × 10?31 kg and a char...
 11.4.66AE: Identities Prove the following identities. Assume that u, v, w, and...
 11.4.8E: Cross products from the definition Find the cross product u × v in ...
 11.4.46E: Areas of triangles Find the area of the following triangles T.The s...
 11.4.37E: Force on a moving charge Answer the following questions about force...
 11.4.42E: Areas of parallelograms Find the area of the following parallelogra...
 11.4.6E: Explain how to find the torque produced by a force using cross prod...
 11.4.19E: Area of a parallelogram Find the area of the parallelogram that has...
 11.4.39E: Force on a moving charge Answer the following questions about force...
 11.4.4E: If u and v are orthogonal, what is the magnitude of u × v?
 11.4.32E: Normal vectors Find a vector normal to the given vectors.?6, ?2, 4?...
 11.4.58E: Arm torque A horizontally outstretched arm supports a weight of 20 ...
 11.4.25E: Computing cross products Find the cross products u × v and v × u fo...
 11.4.2E: Explain how to find the direction of the cross product u × v.
 11.4.55E: Scalar triple product Another operation with vectors is the scalar ...
 11.4.53E: Area of a triangle Find the area of the triangle with vertices on t...
 11.4.29E: Normal vectors Find a vector normal to the given vectors.?0, 1, 2? ...
 11.4.15E: Coordinate unit vectors Compute the following cross products. Then ...
 11.4.26E: Computing cross products Find the cross products u × v and v × u fo...
 11.4.44E: Areas of parallelograms Find the area of the following parallelogra...
 11.4.62AE: u×(u×v) = 0
 11.4.64AE: Possible identities Determine whether the following statements are ...
 11.4.27E: Computing cross products Find the cross products u × v and v × u fo...
 11.4.57E: Bicycle brakes A set of caliper brakes exerts a force on the rim of...
 11.4.52E: Vector equation Find all vectors u that satisfy the equation?1, 1, ...
 11.4.24E: Computing cross products Find the cross products u × v and v × u fo...
 11.4.51E: Vector equation Find all vectors u that satisfy the equation?1, 1, ...
 11.4.18E: Coordinate unit vectors Compute the following cross products. Then ...
 11.4.45E: Areas of parallelograms Find the area of the following parallelogra...
 11.4.67AE: Cross product equations Suppose u and v are known nonzero vectors i...
 11.4.5E: Explain how to use a determinant to compute u × v.
 11.4.9E: Cross products from the definition Sketch the following vectors u a...
 11.4.50E: A unit cross product Under what conditions is u × v a unit vector?
 11.4.10E: Cross products from the definition Sketch the following vectors u a...
 11.4.56E: Scalar triple product Another operation with vectors is the scalar ...
 11.4.28E: Computing cross products Find the cross products u × v and v × u fo...
 11.4.40E: Force on a moving charge Answer the following questions about force...
 11.4.1E: Explain how to find the magnitude of the cross product u × v.
 11.4.33E: Computing torque Answer the following questions about torque.Let . ...
 11.4.34E: Computing torque Answer the following questions about torque.Let . ...
 11.4.35E: Computing torque Answer the following questions about torque.Let . ...
 11.4.43E: Areas of parallelograms Find the area of the following parallelogra...
 11.4.38E: Force on a moving charge Answer the following questions about force...
 11.4.61AE: Associative property Prove in two ways that for scalars a and b, (a...
 11.4.16E: Coordinate unit vectors Compute the following cross products. Then ...
 11.4.65AE: Identities Prove the following identities. Assume that u, v, w, and...
 11.4.7E: Cross products from the definition Find the cross product u × v in ...
 11.4.47E: Areas of triangles Find the area of the following triangles T.The s...
 11.4.13E: Coordinate unit vectors Compute the following cross products. Then ...
 11.4.3E: What is the magnitude of the cross product of two parallel vectors?
 11.4.63AE: Possible identities Determine whether the following statements are ...
 11.4.41E: Explain why or why not Determine whether the following statements a...
 11.4.36E: Computing torque Answer the following questions about torque.A pump...
 11.4.12E: Cross products from the definition Sketch the following vectors u a...
 11.4.48E: Areas of triangles Find the area of the following triangles T.The v...
Solutions for Chapter 11.4: Calculus: Early Transcendentals 1st Edition
Full solutions for Calculus: Early Transcendentals  1st Edition
ISBN: 9780321570567
Solutions for Chapter 11.4
Get Full SolutionsChapter 11.4 includes 67 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since 67 problems in chapter 11.4 have been answered, more than 119625 students have viewed full stepbystep solutions from this chapter. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567.

Absolute value of a real number
Denoted by a, represents the number a or the positive number a if a < 0.

Angle between vectors
The angle formed by two nonzero vectors sharing a common initial point

Aphelion
The farthest point from the Sun in a planet’s orbit

Arccosecant function
See Inverse cosecant function.

Circle graph
A circular graphical display of categorical data

Complex fraction
See Compound fraction.

Deductive reasoning
The process of utilizing general information to prove a specific hypothesis

Degree of a polynomial (function)
The largest exponent on the variable in any of the terms of the polynomial (function)

Equivalent systems of equations
Systems of equations that have the same solution.

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

Feasible points
Points that satisfy the constraints in a linear programming problem.

Linear programming problem
A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

Magnitude of a real number
See Absolute value of a real number

Modified boxplot
A boxplot with the outliers removed.

Partial sums
See Sequence of partial sums.

Product of matrices A and B
The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

Seconddegree equation in two variables
Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

Solve a triangle
To find one or more unknown sides or angles of a triangle

Stretch of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal stretch) by the constant 1/c, or all of the ycoordinates (vertical stretch) of the points by a constant c, c, > 1.

symmetric about the xaxis
A graph in which (x, y) is on the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ?, ?) is on the graph whenever (r, ?) is