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Wolfram Math World: Dot Product HandoutWolfram Math World: Dot Product Handout
Publisher
Wolfram Research
Resource Details
Curator Rating
Educator Rating
Not yet Rated
Grade
9th - 10th
Subjects
Math
2 more...
Resource Type
Handouts & References
Audiences
For Administrator Use
2 more...
Lexile Measures
0L
Handout

Wolfram Math World: Dot Product

Curated by ACT

This math site gives the formula for taking the dot product of two vectors, gives properties of dot products, (commutative, associative, and distributive), how to find the derivative of a dot product. This site has links to several other Math World sites for further learning and understanding.

3 Views 2 Downloads

Concepts

vectors

Additional Tags

associative, commutative, distributive, dot product, dot product of vectors, dot products, inner product, perpendicular, tensors, unit vector, einstein summation, derivative of a dot product, derivative of a dot product of vectors, dot product of two vectors, properties of dot products, dot product of vector

Classroom Considerations

  • Knovation Readability Score: 3 (1 low difficulty, 5 high difficulty)
  • This resource is only available on an unencrypted HTTP website.It should be fine for general use, but don’t use it to share any personally identifiable information

See similar resources:

Instructional Video

Finding the Dot Product

Curated OER
Are you just starting a unit of vectors or matrices? Help your class learn how to find the dot product with this simplistic video tutorial. The procedure is shown as the tutor determines the dot product of A and B by transposing numbers...
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Handout

The Math Forum: Dot Product of Unit Vectors

National Council of Teachers of Mathematics
This site gives an example of a problem showing how to find the dot product of unit vectors.
9th - 10th Math
CCSS: Adaptable
Website

Wolfram Math World: World's Most Extensive Mathematics Resource

Wolfram Research
MathWorld provides a huge mathematics encyclopedia detailing the concepts of geometry, algebra, calculus, discrete math, number theory, and other math topics--complete with formulas, diagrams, examples, and references for thorough...
9th - 10th Math
CCSS: Adaptable
Unit Plan

Wolfram Math World: Sphere

Wolfram Research
This webpage thoroughly discusses the math of spheres. Includes the equation for a sphere in Cartesian and spherical coordinates as well as parametrically. Surface Area, volume, and curvature are addressed at this extensive site.
9th - 10th Math
Handout

Wolfram Math World: Orthogonal Vectors

Wolfram Research
This MathWorld page gives a very brief definition of orthogonal vectors (vectors whose dot product is equal to zero.)
9th - 10th Math
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Handout

Wolfram Math World: Dihedral Angle

Wolfram Research
This MathWorld page discusses the dihedral angle, or the angle between two planes that can be found using the dot product of the two normal vectors of each plane.
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Instructional Video

Khan Academy: Linear Algebra: Proving Vector Dot Product Properties

Khan Academy
Video shows proofs of vector dot product properties. Proves vector dot products hold true under the commutative, distributive and associative properties. [10:45]
9th - 10th Math
Instructional Video

Khan Academy: Linear Algebra: Vector Dot Product and Vector Length

Khan Academy
Video first reviews vector addition and multiplying by a scalar multiple. Gives notation for dot product and shows example of calculating the dot product of vectors. Then gives the formula for vector length and gives examples of using...
9th - 10th Math
CCSS: Adaptable
Website

Wolfram Math World: Geometry

Wolfram Research
This MathWorld tutorial provides detailed overviews of the concepts and theorems associated with geometry. Most of the Math World sites are extensive and some require higher math knowledge to understand, links to terms and topics are...
9th - 10th Math
CCSS: Adaptable
Activity

Wolfram Math World: Golden Ratio

Wolfram Research
Math World explains the Golden Ratio, gives the formula for finding the irrational number, and expresses this value as an infinite series. Also defines and represents the Ratio geometrically, its relationship to the Fibonacci numbers,...
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