Dot product

1. Nov 24, 2011

angi-18

whats the difference between simple product and dot product???

2. Nov 24, 2011

JHamm

Products are definitions, they are way that it makes sense to take 'x' of 'y'. With complex numbers this is what I am assuming you mean by "simple product", however the same definition doesn't make sense with vectors. The dot product is just one way of defining a product between two vectors, if we assume they are composed of 3 components the dot product is defined as...
$$< a_1, a_2, a_3 > \cdot < b_1, b_2, b_3 > = a_1b_1 + a_2b_2 + a_3b_3$$
An alternative way of defining vector products is the "cross product"

3. Nov 24, 2011

Sefrez

I will point out (may it be known) that the cross product of two vectors is a vector where as the dot product of two vectors is a scalar. Two completely different things.