# Operator: Vector Dot Product

Operator: Vector Dot Product

ModPsi
TypeSelector
GroupTrigonometry
Return typeNumber
Parameters
Vector AVector
Vector BVector
Technical details
Registry nameoperatorVectorDotProduct

Operator: Vector Dot Product is a Number Spell Piece added by Psi. It provides the dot product of two vectors, which is defined as $\vec{v_{1}} \cdot \vec{v_{2}}=||\vec{v_{1}}||\ ||\vec{v_{2}}||\cos(\theta)$, where $\vec{v_{1}}$ and $\vec{v_{2}}$ are vectors, $||\vec{v_{1}}||$ and $||\vec{v_{2}}||$ are the magnitudes of the two vectors, and $\theta$ is the angle between the two vectors. For example, two vectors at a 90° angle will have a dot product of 0, while those at a 0° angle will be exactly equal to $||\vec{v_{1}}|| \times ||\vec{v_{2}}||$. This result is scalar; it will result in a number value, not another vector. This should not be confused with
Operator: Vector Multiply and
Operator: Vector Cross Product. It is unlocked in the lesson "Trigonometry."

## Parameters

• Vector A: Requires a vector.
• Vector B: Requires a vector.