Apparatus and methods are provided for use in filtering emboli from a vessel and/or performing thrombectomy and embolectomy, wherein a vascular device disposed on a guidewire comprises a support hoop disposed from a suspension strut. Alternately, a support hoop having an articulation region may be directly connected to a region proximate the distal end of the guidewire. A blood permeable sac is affixed to the support hoop to form a mouth of the blood permeable sac. The support hoop is disposed obliquely relative to the longitudinal axis of the guidewire and is capable of being properly used in a wide range of vessel diameters. The vascular device collapses during removal to prevent material from escaping from the sac. A delivery sheath and introducer sheath for use with the vascular device of the present invention are also provided.