Dot and Cross Product Calculator
This calculator calculates the dot and cross product given 2 vectors
Dot Product of Vectors
The dot product (also known as scalar product) of two vectors a and b can be defined as:
a.b = |a||b|cos θ
where a and b are vectors, |a| is the magnitude of vector a, |b| is the magnitude of vector b, and θ is the angle between vectors a and b.
The dot product of vectors is also called scalar product as a scalar quantity (just magnitude) is obtained.
If we have vectors a and b written in i, j, k format, then the dot product of a and b can be found this way:
Cross Product of Vectors
The cross product (also known as vector product) of two vectors a and b can be defined as:
a x b = |a||b|sin θ n
where a and b are vectors, |a| is the magnitude of vector a, |b| is the magnitude of vector b, and θ is the angle between vectors a and b, and n is the unit vector perpendicular to both a and b.
If we have vectors a and b written in i, j, k format, then the cross product of a and b can be found this way:
