dot product

Example Sentences

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In this section, we develop an operation called the dot product, which allows us to calculate work in the case when the force vector and the motion vector have different directions.

From Textbooks • Mar. 30, 2016

The first type of vector multiplication is called the dot product, based on the notation we use for it, and it is defined as follows:

From Textbooks • Mar. 30, 2016

As you might expect, to calculate the dot product of four-dimensional vectors, we simply add the products of the components as before, but the sum has four terms instead of three.

From Textbooks • Mar. 30, 2016

The fourth property shows the relationship between the magnitude of a vector and its dot product with itself:

From Textbooks • Mar. 30, 2016

Note that if u and v are two-dimensional vectors, we calculate the dot product in a similar fashion.

From Textbooks • Mar. 30, 2016