- 11.4.1: ?In Exercises 1-6, find the cross product of the unit vectors and s...
- 11.4.2: ?In Exercises 1-6, find the cross product of the unit vectors and s...
- 11.4.3: ?In Exercises 1-6, find the cross product of the unit vectors and s...
- 11.4.4: ?In Exercises 1-6, find the cross product of the unit vectors and s...
- 11.4.5: ?In Exercises 1-6, find the cross product of the unit vectors and s...
- 11.4.6: ?In Exercises 1-6, find the cross product of the unit vectors and s...
- 11.4.7: ?In Exercises 7-10, find (a) \(\mathbf{u} \times \mathbf{v}\), (b) ...
- 11.4.8: ?In Exercises 7-10, find (a) \(\mathbf{u} \times \mathbf{v}\), (b) ...
- 11.4.9: ?In Exercises 7-10, find (a) \(\mathbf{u} \times \mathbf{v}\), (b) ...
- 11.4.10: ?In Exercises 7-10, find (a) \(\mathbf{u} \times \mathbf{v}\), (b) ...
- 11.4.11: ?In Exercises 11-16, find \(\mathbf{u} \times \mathbf{v}\) and show...
- 11.4.12: ?In Exercises 11-16, find \(\mathbf{u} \times \mathbf{v}\) and show...
- 11.4.13: ?In Exercises 11-16, find \(\mathbf{u} \times \mathbf{v}\) and show...
- 11.4.14: ?In Exercises 11-16, find \(\mathbf{u} \times \mathbf{v}\) and show...
- 11.4.15: ?In Exercises 11-16, find \(\mathbf{u} \times \mathbf{v}\) and show...
- 11.4.16: ?In Exercises 11-16, find \(\mathbf{u} \times \mathbf{v}\) and show...
- 11.4.17: ?In Exercises 17-20, find a unit vector that is orthogonal to both ...
- 11.4.18: ?In Exercises 17-20, find a unit vector that is orthogonal to both ...
- 11.4.19: ?In Exercises 17-20, find a unit vector that is orthogonal to both ...
- 11.4.20: ?In Exercises 17-20, find a unit vector that is orthogonal to both ...
- 11.4.21: ?In Exercises 21-24, find the area of the parallelogram that has th...
- 11.4.22: ?In Exercises 21-24, find the area of the parallelogram that has th...
- 11.4.23: ?In Exercises 21-24, find the area of the parallelogram that has th...
- 11.4.24: ?In Exercises 21-24, find the area of the parallelogram that has th...
- 11.4.25: ?In Exercises 25 and 26, verify that the points are the vertices of...
- 11.4.26: ?In Exercises 25 and 26, verify that the points are the vertices of...
- 11.4.27: ?In Exercises 27 and 28 , find the area of the triangle with the gi...
- 11.4.28: ?In Exercises 27 and 28 , find the area of the triangle with the gi...
- 11.4.29: ?A child applies the brakes on a bicycle by applying a downward for...
- 11.4.30: ?Both the magnitude and the direction of the force on a crankshaft ...
- 11.4.31: ?A force of 180 pounds acts on the bracket shown in the figure.(a) ...
- 11.4.32: ?A force of 56 pounds acts on the pipe wrench shown in the figure.(...
- 11.4.33: ?In Exercises 33-36, find \(\mathbf{u} \cdot(\mathbf{v} \times \mat...
- 11.4.34: ?In Exercises 33-36, find \(\mathbf{u} \cdot(\mathbf{v} \times \mat...
- 11.4.35: ?In Exercises 33-36, find \(\mathbf{u} \cdot(\mathbf{v} \times \mat...
- 11.4.36: ?In Exercises 33-36, find \(\mathbf{u} \cdot(\mathbf{v} \times \mat...
- 11.4.37: ?In Exercises 37 and 38, use the triple scalar product to find the ...
- 11.4.38: ?In Exercises 37 and 38, use the triple scalar product to find the ...
- 11.4.39: ?In Exercises 39 and 40 , find the volume of the parallelepiped wit...
- 11.4.40: ?In Exercises 39 and 40 , find the volume of the parallelepiped wit...
- 11.4.41: ?Comparing Dot Products Identify the dot products that are equal. E...
- 11.4.42: ?When \(\mathbf{u} \times \mathbf{v}=\mathbf{0}\) and \(\mathbf{u} ...
- 11.4.43: ?Define the cross product of vectors u and v.
- 11.4.44: Cross Product State the geometric properties of the cross product.
- 11.4.45: Magnitude When the magnitudes of two vectors are doubled, how will ...
- 11.4.46: ?The vertices of a triangle in space are \(\left(x_{1}, y_{1}, z_{1...
- 11.4.47: ?In Exercises 47-50, determine whether the statement is true or fal...
- 11.4.48: ?In Exercises 47-50, determine whether the statement is true or fal...
- 11.4.49: ?In Exercises 47-50, determine whether the statement is true or fal...
- 11.4.50: ?In Exercises 47-50, determine whether the statement is true or fal...
- 11.4.51: ?In Exercises 51-56, prove the property of the cross product.\(\mat...
- 11.4.52: ?In Exercises 51-56, prove the property of the cross product.\(c(\m...
- 11.4.53: ?In Exercises 51-56, prove the property of the cross product.\(\mat...
- 11.4.54: ?In Exercises 51-56, prove the property of the cross product.\(\mat...
- 11.4.55: ?In Exercises 51-56, prove the property of the cross product.\(\mat...
- 11.4.56: ?In Exercises 51-56, prove the property of the cross product.\(\mat...
- 11.4.57: ?Prove that \(\|\mathbf{u} \times \mathbf{v}\|=\|\mathbf{u}\|\|\mat...
- 11.4.58: ?Prove that \(\mathbf{u} \times(\mathbf{v} \times \mathbf{w})=(\mat...
- 11.4.59: Proof Prove Theorem 11.9.
Solutions for Chapter 11.4: The Cross Product of Two Vectors in Space
Full solutions for Calculus: Early Transcendental Functions | 6th Edition
ISBN: 9781285774770
Solutions for Chapter 11.4
31
3
Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. Since 59 problems in chapter 11.4: The Cross Product of Two Vectors in Space have been answered, more than 167771 students have viewed full step-by-step solutions from this chapter. Chapter 11.4: The Cross Product of Two Vectors in Space includes 59 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. This expansive textbook survival guide covers the following chapters and their solutions.
Key Calculus Terms and definitions covered in this textbook
-
Addition principle of probability.
P(A or B) = P(A) + P(B) - P(A and B). If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)
-
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
-
Arccosine function
See Inverse cosine function.
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Augmented matrix
A matrix that represents a system of equations.
-
Equivalent equations (inequalities)
Equations (inequalities) that have the same solutions.
-
Frequency (in statistics)
The number of individuals or observations with a certain characteristic.
-
Inverse function
The inverse relation of a one-to-one function.
-
LRAM
A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the left-hand endpoint of each subinterval
-
Octants
The eight regions of space determined by the coordinate planes.
-
Parallelogram representation of vector addition
Geometric representation of vector addition using the parallelogram determined by the position vectors.
-
Perihelion
The closest point to the Sun in a planet’s orbit.
-
Power function
A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.
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Product of a scalar and a vector
The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,
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Resolving a vector
Finding the horizontal and vertical components of a vector.
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Right-hand limit of ƒ at x a
The limit of ƒ as x approaches a from the right.
-
System
A set of equations or inequalities.
-
Upper bound for ƒ
Any number B for which ƒ(x) ? B for all x in the domain of ƒ.
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Ymax
The y-value of the top of the viewing window.
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Zero matrix
A matrix consisting entirely of zeros.