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I subdivided a face. I then connected the newly added vertex to an existing vertex by selecting both vertices and pressing F

The now newly created edge crosses an existing face, but the face is not partitioned by the new edge (as can be seen in the screenshot below). So, I obviously did something wrong.

enter image description here

So, my question is: how do I split the existing face in two right where the edge is?

P.S. I'm reaaly new to blender so I don't know the correct terminology to search for; I hope this question is not answered here already.

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    $\begingroup$ Delete this old face. Select all the unconnected edges and press F to make a new face. This will fix the current situation. Otherwise, before creating the edge use the knife tool to cut the face. The knife tool can snap to the vertices which you want to connect. $\endgroup$ – Leander Jan 7 '17 at 17:28
  • $\begingroup$ Thanks for the super quick comment, it worked. Maybe expand your comment into an answer so I can accept it. $\endgroup$ – Jacco Jan 7 '17 at 17:33
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    $\begingroup$ Try J instead of F. I've been using this since forever, so I don't remember if it's available by default or if it's part of an addon. $\endgroup$ – Duane Dibbley Jan 7 '17 at 17:33
  • $\begingroup$ @Duane Dibbley, your solution works a lot faster than deleting a face, with all the possible complications it implies. Post it as an answer. :o) $\endgroup$ – Rafael Jul 3 '18 at 21:10
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By selecting the vertices and pressing F you are simply creating a new edge. The faces connected to the vertices are not changed, this behaviour correct.

In this position, delete the problematic face.
Select all the vertices and/or edges, which need to be fill and press F to fill them with new faces.

Alternatively, before creating the edge which intersects the face, press K to cut the face with the Knife Tool. The knife tool can snap to the vertices along the faces' edge.

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F will create non-manifold (bad) geometry. In practice, if J cuts the edge you want, use it. Use F to fill in new geometry. Use J to modify existing geometry.

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