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Get Full Access to Calculus - Textbook Survival Guide
Get Full Access to Calculus - Textbook Survival Guide
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Solutions for Chapter 12.3: THE DOT PRODUCT

Full solutions for Multivariable Calculus, | 7th Edition

ISBN: 9780538497879

Solutions for Chapter 12.3: THE DOT PRODUCT

Solutions for Chapter 12.3
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ISBN: 9780538497879

Since 64 problems in chapter 12.3: THE DOT PRODUCT have been answered, more than 21974 students have viewed full step-by-step solutions from this chapter. Multivariable Calculus, was written by and is associated to the ISBN: 9780538497879. This textbook survival guide was created for the textbook: Multivariable Calculus,, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 12.3: THE DOT PRODUCT includes 64 full step-by-step solutions.

Key Calculus Terms and definitions covered in this textbook
• Acute triangle

A triangle in which all angles measure less than 90°

• Additive inverse of a complex number

The opposite of a + bi, or -a - bi

• Base

See Exponential function, Logarithmic function, nth power of a.

• Characteristic polynomial of a square matrix A

det(xIn - A), where A is an n x n matrix

• End behavior

The behavior of a graph of a function as.

• Equilibrium price

See Equilibrium point.

• Factored form

The left side of u(v + w) = uv + uw.

• Imaginary axis

See Complex plane.

• Infinite sequence

A function whose domain is the set of all natural numbers.

• Inverse properties

a + 1-a2 = 0, a # 1a

• Mapping

A function viewed as a mapping of the elements of the domain onto the elements of the range

• Open interval

An interval that does not include its endpoints.

• Plane in Cartesian space

The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

• Positive numbers

Real numbers shown to the right of the origin on a number line.

The formula x = -b 2b2 - 4ac2a used to solve ax 2 + bx + c = 0.

• Real axis

See Complex plane.

• Row echelon form

A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

• Standard position (angle)

An angle positioned on a rectangular coordinate system with its vertex at the origin and its initial side on the positive x-axis

• Variance

The square of the standard deviation.

• z-axis

Usually the third dimension in Cartesian space.

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