Answer to Question #52040 in Quantum Mechanics for promise

Question

Which of the following correctly gives the direction of a vector product
c⃗ =a⃗ ×b⃗
?

If the right thumb points in the direction of
a⃗
and the other fingers point in the direction of
b⃗
, then the palm pushes in the opposite direction of
c⃗
If the right is held such that the curled fingers follow the rotation of
a⃗
into
b⃗
, then the extended right thumb points in the direction of
c⃗
If the left thumb points in the direction of
a⃗
and the other fingers point in the direction of
b⃗
, then the palm pushes in the direction of
−c⃗
The direction of retreat of the right-handed screw when turned from
a⃗
to
b⃗
through the smaller angle.