Dot product is proportional to cosine of angle between vectors¶
The dot product of two vectors is a scalar binary operation that can be defined as the product of the norms of the vectors and the cosine of the angle between them. Also see the vector law.
Links:
- dot_product¶
Dot product between \(\vec u\) and \(\vec v\).
- Symbol:
dot(u, v)- Latex:
\(\left( \vec u, \vec v \right)\)
- Dimension:
any_dimension
- first_vector_length¶
Length of \(\vec u\).
- Symbol:
u- Latex:
\(u\)
- Dimension:
any_dimension
- second_vector_length¶
Length of \(\vec v\).
- Symbol:
v- Latex:
\(v\)
- Dimension:
any_dimension
- Symbol:
phi- Latex:
\(\varphi\)
- Dimension:
angle
- law¶
dot(u, v) = u * v * cos(phi)- Latex:
- \[\left( \vec u, \vec v \right) = u v \cos{\left(\varphi \right)}\]