Vectors can be multiplied in two ways:
Scalar product or Dot product
Vector Product or Cross product
The dot product is the product of magnitude of the vectors and the cos of the angle between them.
Scalar product = a . b = |a||b| cos α
The cross product is the product of the magnitude of the vectors and the sine of the angle between them.
Vector product = a × b = |a||b| sin α
The dot product is a scalar and the cross product is a vector.