The vector product of two vectors `vec A and vec B` is zero. The scalar product of `vec A and (vec A + vec B)` will be

The scalar product of two vec(A) and vec(B) is :

Show that the scalar product of two vectors vec A and vec B is commutative.

Define the vector product of two vectors vec (a) and vec (b) . Give geometrical interpretation of vec (a) xx vec (b) . Show that the satisfies the distributive law .

If the vector vec a= x vec i + y vec j + 2 vec k is perpendicular to the vector vec b = vec i - vec j + vec k and the scalar product of vec a and vec c= vec i + 2 vec j is equal to 4 then x= ________ and y=__________.

Let vec a, vec b and vec c be three vectors. Then scalar triple product [vec a, vec b, vec c]=

If the angle between the vectors vec A and vec B is theta , the value of the product (vec B xx vec A) cdot vec A is equal to

If the magnitude of the vector product | vec(A) xx vec(B)| of two vector is equal to the magnitude of their scalar product | vec(A) . vec(B)| , then the angle between vec(A) and vec(B) is ……….

The angle between two vectors vec(u) and vec(v) is 60^(@) .Find (i) the scalar product of the two vectors and (ii) the vector product of the two vectors , if vec(u) =7 units , vec (v) = 14 units ?

Vector product of three vectors vec a,vec b and vec c of the type vec a times(vec b timesvec c) is known as vector triple product. It is defined as vec a times(vec b timesvec c) = (vec a*vec c)vec b-(vec a*vec b)vec c . Vector triple product vec a times(vec b timesvec a) is