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Vectors: MATH 171 Problems 1 & 2 thumbnail

Vectors: MATH 171 Problems 1 & 2

Proving associative and scalar multiplication properties for vectors

Absolute ValueAssociative PropertyEquationMagnitudeNormScalarVector
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Vectors: MATH 171 Problems 5 & 6 thumbnail

Vectors: MATH 171 Problems 5 & 6

Using vectors to prove facts about equilateral triangles and a scalar multiplication property for the dot product

Dot ProductEquilateral TriangleGeometricMidpointsScalarVector
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Limits: MATH 171 Problems 8 & 9 thumbnail

Limits: MATH 171 Problems 8 & 9

Proving a property of scalar multiplication for limits using the epsilon-delta definition and using the Squeeze Theorem for Limits.

Absolute ValueCosineEpsilon-Delta Definition of a LimitLimitLimit PropertiesScalarSquare RootSqueeze (or Sandwich) TheoremTrigonometry
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Vectors: MATH 151 J.1 Problems 1 & 2 thumbnail

Vectors: MATH 151 J.1 Problems 1 & 2

Basic Vector Operations such as Addition, Subtraction, and Scalar Multiplication

Absolute ValueScalarVector
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Scalar Multiplication thumbnail

Scalar Multiplication

Defining scalar multiplication and giving an example

MATH 308ScalarScalar MultiplicationVectorVector Operations
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Vector Addition Example thumbnail

Vector Addition Example

Finding a linear combination of vector functions

Linear CombinationMATH 308Scalar MultiplicationVectorVector AdditionVector FunctionVector Operations
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Linear Combination thumbnail

Linear Combination

Defining linear combinations of vectors and providing an example

Linear CombinationMATH 308Scalar MultiplicationVector AdditionVector Operations
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Math 304 Section 3.1 Exercise 1 thumbnail

Math 304 Section 3.1 Exercise 1

Showing that \(R^{n\times x}\) with the usual matrix addition and scalar multiplication is a vector space

Math 304MatrixMatrix AdditionScalar MultiplicationVector Space
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Math 304 Section 3.1 Exercise 2 thumbnail

Math 304 Section 3.1 Exercise 2

Determining if a set with defined operations is a vector space

Math 304Scalar MultiplicationVector Space
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