what is the difference between scalar product and vector product?
Answers
Answer:
Dot product or scalar productCross product or vector productIf the product of two vectors is a scalar quantity,the product is called scalar product or dot product.If the product of two vectors is a vector quantity then the product is called vector product or cross product.
The dot product is defined by the relation:
A . B = AB Cos θ
The cross product is defined by the relation:
A × B = AB Sinθ u
The scalar product obeys commutative law as
A.B =B.A
The vector or cross product does not obey commutative law
A×B ≠B×A
If two vectors are perpendicular to each other then their scalar product is zero.
A.B =0
If two vectors are parallel to each other,their vector product is zero.
A×B=0
Physical quantity which has only magnitude is known as scalar product / quantity. example : mass, length etc.
Physical quantity which has magnitude as well as direction is known as vector product.
example : Velocity , Displacement etc