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# Solutions for Chapter 11.4: The Cross Product of Two Vectors in Space

## Full solutions for Calculus | 8th Edition

ISBN: 9780618502981

Solutions for Chapter 11.4: The Cross Product of Two Vectors in Space

Solutions for Chapter 11.4
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##### ISBN: 9780618502981

This expansive textbook survival guide covers the following chapters and their solutions. Chapter 11.4: The Cross Product of Two Vectors in Space includes 64 full step-by-step solutions. This textbook survival guide was created for the textbook: Calculus, edition: 8. Calculus was written by and is associated to the ISBN: 9780618502981. Since 64 problems in chapter 11.4: The Cross Product of Two Vectors in Space have been answered, more than 76568 students have viewed full step-by-step solutions from this chapter.

Key Calculus Terms and definitions covered in this textbook
• Ambiguous case

The case in which two sides and a nonincluded angle can determine two different triangles

• Aphelion

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

• Component form of a vector

If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x-, y-, and z-components of the vector, respectively)

• Conditional probability

The probability of an event A given that an event B has already occurred

• Correlation coefficient

A measure of the strength of the linear relationship between two variables, pp. 146, 162.

• Degree of a polynomial (function)

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

• Difference of complex numbers

(a + bi) - (c + di) = (a - c) + (b - d)i

• Direction angle of a vector

The angle that the vector makes with the positive x-axis

• Dot product

The number found when the corresponding components of two vectors are multiplied and then summed

• Graph of a polar equation

The set of all points in the polar coordinate system corresponding to the ordered pairs (r,?) that are solutions of the polar equation.

• Hypotenuse

Side opposite the right angle in a right triangle.

• Initial side of an angle

See Angle.

• Instantaneous rate of change

See Derivative at x = a.

• Inverse cotangent function

The function y = cot-1 x

• 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

• Order of magnitude (of n)

log n.

• Polar form of a complex number

See Trigonometric form of a complex number.

• Probability simulation

A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

• Resolving a vector

Finding the horizontal and vertical components of a vector.

• Standard unit vectors

In the plane i = <1, 0> and j = <0,1>; in space i = <1,0,0>, j = <0,1,0> k = <0,0,1>

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