How is scalar multiplication different from dot product?

Vectors are not just numbers like scalars that have only magnitude. Vectors have direction and magnitude, and multiplying two vectors or multiplying a vector by a real number would yield results as per rules of vector algebra. 

The three different ways of vector multiplication are

• Scalar Multiplication - This is multiplying a vector with a scalar quantity. This operation results in another vector. 
• Dot Product - This is an operation that tells us that two vectors gives a scalar as a result. 
• Cross Product - This is an operation, when two vectors are multiplied, yields a vector that is perpendicular to both.