The dot-product of two vectors is the product of their magnitudes multiplied by the cosine of the angle between them. The dot-product is a scalar quantity.
If by "triple dot product" you mean u·v·w, then no, because that would imply the existence of a dot product between a vector and a scalar.
Because only the magnitudes are multiplied.
They give us different results. The dot product produces a number, while the scalar multiplication produces a vector.
As we know work done is a scalar. Also the work done is referred to as the product of force and displacement. so, we consider the dot product of force and displacement which would result in a scalar.
No. The dot product is also called the scalar product and therein lies the clue.
That's the way it is defined.
It depends on the type of product used. A dot or scalar product of two vectors will result in a scalar. A cross or vector product of two vectors will result in a vector.
Dot Products in Physics denote scalar results fmo vector products, e.g Work = F.D = FDCos(FD) a scalar result from the dot product of two vectors, F Force and D Displacement.
The product of scalar and vector quantity is scalar.
Your question makes no sense I'm afraid. However the vector product that produces a scalar is the 'dot product'
A dot product is a scalar product so it is a single number with only one component. A cross product or vector product is a vector which has three components like the original vectors.