Vanadium is paramagnetic at room temperature, so will not stick to a magnet. A lot of vanadium used in alloys is ferro-vanadium, so can contain an amount of iron, but is more likely used when alloying steel. A Ti/Vn alloy used for bike frames is unlikely to show any magnetic attraction, since any Fe will only be present in trace amounts. Disclaimer - I don't know this for certain and haven't studied magnetism since about 25 years.