Question

Why and How dot-product and cross-product used in vectors are interchangeable ?

Answer 1

They are by no means interchangable

Answer 2

@agent0smith @Directrix Can you help ?

Answer 3

Sure, you just want a general explanation or do you have a specific problem?

Answer 4

I want the correct explanation and the CONCEPTION ACTUALLY.

Answer 5

@robtobey @dan815

Answer 6

what do you mean interchangeable? like in some vector identities?

Answer 7

yes...

Answer 8

The dot product is the component of one vector that is parallel with another.

Answer 9

yes

Answer 10

and it is scalar and cross gives you a vector which is in the direction of the normal to that plane and has a magnitude of the area of the paralleogram spanned by the 2 vectors

Answer 11

Where as the cross product is orthogonal (meaning perpendicular to all the lines of the graph)