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Common Core

N-VM.B.4

11 lessons teach this standard. Every lesson is interactive, and every one prints as a worksheet with a separate answer key.

Multivariable Calculus · Chapter 1 · Lesson 1

Vectors in Three Dimensions

A third coordinate, and everything else stays the same.

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Multivariable Calculus · Chapter 1 · Lesson 2

The Dot Product

A number that measures agreement.

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Multivariable Calculus · Chapter 5 · Lesson 2

Directional Derivatives

The rate of change in any direction you choose.

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Multivariable Calculus · Chapter 8 · Lesson 2

Line Integrals and Conservative Fields

When the path stops mattering.

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Linear Algebra · Chapter 1 · Lesson 1

Vectors and Their Arithmetic

Arrows you can add and stretch.

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Linear Algebra · Chapter 1 · Lesson 2

Linear Combinations and Span

Everything you can reach from where you started.

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Linear Algebra · Chapter 1 · Lesson 3

Linear Independence

Which vectors are actually earning their place.

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Linear Algebra · Chapter 6 · Lesson 1

Subspaces

Sets that are closed under the two allowed operations.

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Linear Algebra · Chapter 6 · Lesson 2

Basis and Dimension

The smallest set that still reaches everything.

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Linear Algebra · Chapter 8 · Lesson 1

Orthogonality and the Dot Product

Right angles, in any number of dimensions.

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Linear Algebra · Chapter 8 · Lesson 2

Projections

The shadow one vector casts on another.

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