Bold dot in the Product Evaluation

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Aug 6th, 2022
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How to bold dot in the Product Evaluation

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in this lesson were going to focus on the dot product which is one of two ways to multiply two vectors together the difference between the dot product and the cross product which is the other way is that the dot product it gives you a scalar quantity after multiplying two vectors the result of the cross product on the other hand is a vector quantity so lets work out an example but first let me give you the formula so lets say if we have vector a with its x component and its y component and vector b with its x and y components the dot product of a and b is simply the product of the x components plus the product of the y components so its a x times bx plus ay times by and thats how you could find the dot product between two vectors so lets try an example so lets say vector a is two comma three and b is five comma negative four go ahead and calculate the dot product of these two vectors feel free to pause the video if you want to so the first thing were going to do is multiply the

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The dot product of a with unit vector u, denoted au, is defined to be the projection of a in the direction of u, or the amount that a is pointing in the same direction as unit vector u.
In higher mathematics, no symbol is generally used to denote multiplication, except for avoiding ambiguities. Well written algebraic expressions very rarely need an explicit symbol for the multiplication, but in this case its almost always a centered dot ( \cdot ).
An interpunct ⟨⟩, also known as an interpoint, middle dot, middot, centered dot or centred dot, is a punctuation mark consisting of a vertically centered dot used for interword separation in Classical Latin.
The dot in algebra and geometry is used as an alias if you will, for multiplication. Meaning that 2 x 3 may be represented as 23 not to be written 2.3 which could be confused as two point three which is a statement of a decimal number and not a calculation of two times three.
Dot Operator Symbol in LaTeX To write the dot operator symbol, you will need the math mode and one simple command, the \cdot command, and as you can see it does not need arguments. Since the command is already in LaTeX, you dont need any extra package for it.
Simple Dot Symbol in LaTeX In case you are wondering how to write a simple dot symbol the command would be \cdot center dot. The output would look like the dot product, and thats the reason for using \cdot in the dot product.
Other symbols can also be used to denote multiplication, often to reduce confusion between the multiplication sign and the common variable x. In some countries, such as Germany, the primary symbol for multiplication is the dot operator (as in ab).

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