scalar product
inner product
dot product

These results are equivalent to the equation containing the dot product.

This property of the dot product has several useful applications (for instance, see next section).

The dot product of force and distance is mechanical work.

The opposite is true for the dot product of two unit vectors.

Where and agree, so those terms affect the dot products equally.

However, the rules for dot products do not turn out to be simple, as illustrated by:

The flux can be written as the dot product of the field and area vector.

Now to find intersection point with the clipping window we calculate value of dot product.

The reason for the dot product is as follows.

These results are equivalent to the dot product between velocity and the normal direction to the area.