Why is V-stitch cool? It's simple. Just treble (UK; dc in US terms) and if you wish chain. But secondly, it has some stretch. Crochet can be rigid due to the way in which stitches are formed, and this isn't necessarily a bad thing. But one of the charms of V-stitch is that it drapes and stretches due to the angle of the stitches.
Here's one tutorial from My Merry Messy Life (US terms):
This tutorial has detailed step by step photos. Her version has treble/chain/treble in each space (UK terms. In US terms, dc/chain/dc). This adds stretch due to the chain, and makes a slightly more open style of crochet.
Here's another tutorial from Red Heart yarns (US terms):
One of the version here eliminates the chain so in each space there's treble/treble (UK terms. In US terms, dc/dc). This is faster to work and makes a slightly less open crochet 'fabric'. I'm making a version of this, and have chosen to go up one hook size to 5mm with the 8 ply wool, so it still has drape and stretch. (This is the blanket in the photo above).
Having worked on a couple of V-stitch blankets, the one thing I have decided I prefer is to have a single straight stitch (treble in UK terms, dc in US terms) at each end so the sides are straight. It's a stitch at the end of a row, 3 chains at the start of a row. If you start and end with a V-stitch you'll have zigzag sides. If you're happy with that, dandy: if you want straight sides, begin and end with a single stitch.