Dot product calculator calculates dot product (scalar product), magnitudes and
angle between two vectors. The calculator can be used for dot product
calculation of 2D or 3D vectors.
Dot product calculation can be done for two different vector forms: vector components or
magnitudes and angle between vectors.
The dot product formulas used for the calculations are given below.
Dot Product Calculator:
Note: Use dot "." as decimal separator.
RESULTS 
Parameter 
Symbol 
Value 
Unit 
Dot Product of Vectors A and B 



 
Magnitude of Vector A 
A 


Magnitude of Vector B 
B 


Angle between Vectors 
θ 


deg 
Dot Product is a type of vector multiplication and the result is scalar and it has no longer a direction.
$$\overrightarrow{a} \cdot \overrightarrow{b} = \overrightarrow{b} \cdot \overrightarrow{a}$$
$$\overrightarrow{a} \cdot (\overrightarrow{b} + \overrightarrow{c}) = \overrightarrow{a} \cdot \overrightarrow{b} + \overrightarrow{a} \cdot \overrightarrow{c}$$
$$(\lambda \overrightarrow{a}) \cdot \overrightarrow{b} =\lambda \cdot (\overrightarrow{a} + \overrightarrow{b})= \overrightarrow{a} \cdot (\lambda \overrightarrow{b})$$