In figure 1, starting from the left, what magnetic poles are shown on the two bar magnets?

North, south, north, south.

Explanation:

In a usual magnetic field diagram, the vectors of the field "come" from the north pole and "enter" in the south pole.

In this case, we can see from where the field comes by the small arrows in the field lines, so in the figure the poles are:

North, South, North, South.

Where in the middle, the south pole of the left magnet is receiving the field that comes from the north pole in the other magnet, and the same for the outer poles.

no. dot product   =0 when vecs at right angles