Here is an animation from Wikipedia :
http://en.wikipedia.org/wiki/File:Torque_animation.gif
The angular momentum is given by the Cross product of
r and
p
We can see that the direction would be perpendicular to the direction of rotation of the particle (as shown in the animation)
I don't think this really makes sense, how is the vector nature of angular momentum justified ?
How can one get an intuitive sense about the direction of angular momentum ?