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# Solutions for Chapter 12: Vectors and the Geometry of Space ## Full solutions for Calculus, | 5th Edition

ISBN: 9780534393397 Solutions for Chapter 12: Vectors and the Geometry of Space

Solutions for Chapter 12
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##### ISBN: 9780534393397

Chapter 12: Vectors and the Geometry of Space includes 48 full step-by-step solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 5. Since 48 problems in chapter 12: Vectors and the Geometry of Space have been answered, more than 44740 students have viewed full step-by-step solutions from this chapter. Calculus, was written by and is associated to the ISBN: 9780534393397.

Key Calculus Terms and definitions covered in this textbook
• Absolute value of a vector

See Magnitude of a vector.

• Acute angle

An angle whose measure is between 0° and 90°

• Blocking

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

• Conic section (or conic)

A curve obtained by intersecting a double-napped right circular cone with a plane

• Coterminal angles

Two angles having the same initial side and the same terminal side

• Difference of functions

(ƒ - g)(x) = ƒ(x) - g(x)

• Distance (on a number line)

The distance between real numbers a and b, or |a - b|

• Fibonacci numbers

The terms of the Fibonacci sequence.

• Head minus tail (HMT) rule

An arrow with initial point (x1, y1 ) and terminal point (x2, y2) represents the vector <8x 2 - x 1, y2 - y19>

• Magnitude of a real number

See Absolute value of a real number

• Nonsingular matrix

A square matrix with nonzero determinant

• Order of magnitude (of n)

log n.

• Partial fraction decomposition

See Partial fractions.

• Re-expression of data

A transformation of a data set.

• Reference angle

See Reference triangle

• Supply curve

p = ƒ(x), where x represents production and p represents price

• Trigonometric form of a complex number

r(cos ? + i sin ?)

• Upper bound test for real zeros

A test for finding an upper bound for the real zeros of a polynomial.

• Variance

The square of the standard deviation.

• Work

The product of a force applied to an object over a given distance W = ƒFƒ ƒAB!ƒ.

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