Filling mortar in corner brink joint

We recently bought a house here in the DFW area, and I've been doing some looking around at the various imperfections on the exterior that need correction. On the front of the house I've got a corner where the bricks meet at an edge that is mortar all the way from top to bottom. Attachment 50071 (http://www.doityourself.com/forum/attachments/bricks-masonry-cinder-block-paving-walking-stones-asphalt-concrete/50071-filling-mortar-corner-brink-joint-edge1.jpg) The mortar is crumbling and falling out, and I'd like to fill it in. Here's an up-close shot. The gap is about a half inch, and it looks like the void space goes back about two inches. Attachment 50072 (http://www.doityourself.com/forum/attachments/bricks-masonry-cinder-block-paving-walking-stones-asphalt-concrete/50072-filling-mortar-corner-brink-joint-edge_close.jpg) How do i go about filling this in. I've never done any kind of brickwork/masonry, so I'm a complete noob in that regard.