Assertion: Vector product of two vectors is an axial vector.
Reason: If `vec(v)=` instantaneous Velocity, `vec(r )=` radius vector and `vec(omega)=` angular velocity, then `vec(omega)= vec(v)xxvec(r )`.

The cross product of two vectors gives a vector perpendicular to the plane containing the vectors. If vec(a) and vec(b) are non-zero vectors, then vec(a)*(vec(a)xxvec(b))= _________

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 linear velocity of a rotating body is given by vec(v)=vec(omega)xxvec(r) , where vec(omega) is the angular velocity and vec(r) is the radius vector. The angular velocity of a body is vec(omega)=hat(i)-2hat(j)+2hat(k) and the radius vector vec(r)=4hat(j)-3hat(k) , then |vec(v)| is-

The linear velocity of a rotating body is given by vec(v)=vec(omega)xxvec(r) , where vec(omega) is the angular velocity and vec(r) is the radius vector. The angular velocity of a body is vec(omega)=hat(i)-2hat(j)+2hat(k) and the radius vector vec(r)=4hat(j)-3hat(k) , then |vec(v)| is-

The linear velocity of a rotating body is given by vec(v)= vec(omega)xxvec(r ) , where vec(omega) is the angular velocity and vec(r ) is the radius vector. The angular velocity of a body is vec(omega)= hat(i)-2hat(j)+2hat(k) and the radius vector vec(r )= 4hat(j)-3hat(k) , then |vec(v)| is

The linear velocity of a rotating body is given by vec(v)=vec(omega)xxvec(r) , where vec(omega) is the angular velocity and vec(r) is the radius vector. The angular velocity of a body is vec(omega)=hat(i)-2hat(j)+2hat(k) and the radius vector vec(r)=4hat(j)-3hat(k) , then |vec(v)| is-

The linear velocity of a rotating body is given by vec(v)= vec(omega)xxvec(r ) , where vec(omega) is the angular velocity and vec(r ) is the radius vector. The angular velocity of a body is vec(omega)= hat(i)-2hat(j)+2hat(k) and the radius vector vec(r )= 4hat(j)-3hat(k) , then |vec(v)| is

The vector relation between linear velocity vec v ,angular velocity vec omega and radius vector vec r is given by

In nonuniform circular motion, the linear acceleration vec a , the angular acceleration, vec alpha , the angular velocity vec v the radius vector vec r and the angular velocity vec omega at any instant are related by the vector equation,