Question

Explain why product is treated abcosØ during scalar product and absinØ during vector product.Explain real life significance of scalar as well as cross product and expalin when this are applied

Answer 1

The dot product of A and B is the length of the projection of a onto b multiplied by the length of b (or the other way around--it's commutative).
The magnitude of the cross product is the area of the parallelogram with two sides a and b. The orientation of the cross product is orthogonal to the plane containing this parallelogram.