What is a Dot Product Geometrically?
Geometrical interpretation of Dot product
A dot product is the product of the magnitude of two vectors and the cosecant of the angle between the vectors.
Consider the vectors and and the angle between the vectors is . Draw and
In
The dot product is
Similarly
Hence,
The dot product is the dot product of the magnitude of the vector and the projection of on or the dot product is the dot product of the magnitude of the vector and the projection of on .