Question

A vector A points vertically upward and B points towards south.then the vector product A × B is i want explanation guys plz give explanation

Answer 1

here is ur answr......

Assuming that you meant to ask for the cross product, →A×→B, the product is a vector with magnitude A⋅B and the direction is West.

Explanation:

Your notation does not make the question clear. There are 2 types of vector products.

Dot product:

The notation is →A⋅→B and the result is a scalar with magnitude A⋅B⋅cosϕ where ϕ is the angle between →Aand→B.

If you need the dot product of your 2 vectors, the result is zero because the angle between your vectors is 90∘andcos90∘=0.

Cross product:

The notation is →A×→B and the result is a vector with magnitude A⋅B⋅sinϕ where ϕ is the angle between →Aand→B.

If you need the cross product of your 2 vectors, the result is a vector with magnitude A⋅B−(note that sin90∘=1).

Open your right hand with palm away from you and point the fingers up, − the direction of vector →A. Face north and curl your fingers to horizontal, − the direction of vector →B. Extend your thumb − that will be West. So the cross product points West.

I hope this helps,