Operator: Vector Cross Product

Operator: Vector Cross Product
	;
Mod	Psi
Type	Mechanic

Operator: Vector Cross Product is a Vector Spell Piece added by Psi. It provides the cross product of two vectors, which is defined as $\vec{v_{1}} \times \vec{v_{2}}=||\vec{v_{1}}||\ ||\vec{v_{2}}||\sin(\theta)$ , 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 0° angle to each other (parallel) will have a cross product of 0, while those at a 90° angle will be exactly equal to $||\vec{v_{1}}|| \times ||\vec{v_{2}}||$ . The result is a vector which is perpendicular to both of the two original vectors. This Operator should not be confused with
Operator: Vector Multiply and
Operator: Vector Dot Product. It is unlocked in the lesson "Vectors 101."