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dot product

 

Definitions from WordNet

Noun dot product has 1 sense
  1. scalar product, inner product, dot product - a real number (a scalar) that is the product of two vectors
    --1 is a kind of real number, real

Definitions from the Web

Dot Product

Definition:

The dot product is a mathematical operation that takes two vectors and returns a scalar quantity. It is also known as the inner product or scalar product.

Parts of Speech:

  • Noun

Sense 1:

Usage as a Mathematical Operation:

In mathematics, the dot product is calculated by multiplying corresponding components of two vectors together and summing up the results. It is commonly used to determine angles, distances, or projections between vectors.

Sample Sentence 1:

The dot product of vector A and vector B can be calculated as follows: A · B = A1B1 + A2B2 + A3B3.

Sample Sentence 2:

By taking the dot product of the velocity vector and the displacement vector, we can determine the amount of work done.

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