 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 42126 students have viewed full stepbystep solutions from this chapter. Calculus: Early Transcendentals was written by Sieva Kozinsky and is associated to the ISBN: 9780321570567.

Angle of depression
The acute angle formed by the line of sight (downward) and the horizontal

Associative properties
a + (b + c) = (a + b) + c, a(bc) = (ab)c.

Cofunction identity
An identity that relates the sine, secant, or tangent to the cosine, cosecant, or cotangent, respectively

Constraints
See Linear programming problem.

Cotangent
The function y = cot x

equation of a hyperbola
(x  h)2 a2  (y  k)2 b2 = 1 or (y  k)2 a2  (x  h)2 b2 = 1

Frequency (in statistics)
The number of individuals or observations with a certain characteristic.

Histogram
A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

Horizontal translation
A shift of a graph to the left or right.

Interval notation
Notation used to specify intervals, pp. 4, 5.

Lefthand limit of f at x a
The limit of ƒ as x approaches a from the left.

Limit to growth
See Logistic growth function.

Linear combination of vectors u and v
An expression au + bv , where a and b are real numbers

Randomization
The principle of experimental design that makes it possible to use the laws of probability when making inferences.

Scatter plot
A plot of all the ordered pairs of a twovariable data set on a coordinate plane.

Semiminor axis
The distance from the center of an ellipse to a point on the ellipse along a line perpendicular to the major axis.

Solution set of an inequality
The set of all solutions of an inequality

Standard form of a polar equation of a conic
r = ke 1 e cos ? or r = ke 1 e sin ? ,

Terminal point
See Arrow.

Vertex of an angle
See Angle.
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