Dot Product: Difference between revisions
Updated the page. TODO: update the explanation.
Nikitaivanov (talk | contribs) (Created page with "Calculates the dot product of the two input vectors, and outputs a number. /uploads/Dot Product1.png == Details == The Dot Product is a way of multiplying two vectors together, and is written as A · B. We can calculate it algebraically this way: A · B = Ax × Bx + Ay × By + Az × Bz We multiply the x's, multiply the y's, multiply the z's, and then sum them all together. For more advanced readers, it can also be calculated thi...") |
(Updated the page. TODO: update the explanation.) |
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Calculates the dot product of the two input | {{Block | ||
|image=Dot Product.png | |||
|type=s | |||
|folder=math | |||
|input1={{Port|v}} | |||
|input2={{Port|v}} | |||
|output1={{Port|n|Dot Product}} | |||
}} | |||
Calculates the dot product of the two input [[vector]]s. | |||
== Details == | == Details == | ||
The Dot Product is a way of multiplying two vectors together, and is written as A · B. | The Dot Product is a way of multiplying two vectors together, and is written as <code>A · B.</code> | ||
We can calculate it algebraically this way: | We can calculate it algebraically this way: | ||
A · B = Ax × Bx + Ay × By + Az × Bz | <code>A · B = Ax × Bx + Ay × By + Az × Bz</code> | ||
We multiply the x's, multiply the y's, multiply the z's, and then sum them all together. | We multiply the x's, multiply the y's, multiply the z's, and then sum them all together. | ||
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For more advanced readers, it can also be calculated this way: | For more advanced readers, it can also be calculated this way: | ||
A · B = | <code>A · B = |A| × |B| × cos(θ)</code> | ||
Where | Where |A| is the magnitude (length) of vector A, |B| is the magnitude (length) of vector B, and θ is the angle between A and B. | ||
So we multiply the length of A times the length of B, then multiply by the [[Cos|cosine]] of the angle between A and B. | So we multiply the length of A times the length of B, then multiply by the [[Cos|cosine]] of the angle between A and B. | ||