inner product

[chandra21]

recently i have learn about inner product space. I came to know that dot product of vectors in 3d is none other than an inner product.my question is ,if i define anothor inner product the can i able to define cross product of vector in 3d,with the help of the inner product which i defined?

 

[HallsofIvy]

I don't know what you mean by "another inner product" and I don't know what you mean by using an inner product to define a cross product. The fact an inner product space can have any dinension while a cross product only makes sense in three dimensions should tell you that there is no connection between them.