A vascular guidewire system includes a tubular member which at least partially encloses a core wire. A first or distal gripper is connected with a handle to grip a proximal end portion of the tubular member. A second or proximal gripper is disposed in the handle and grips a proximal end portion of the core wire. A first or distal motor is disposed in the handle and is operable to rotate the core wire relative to the outer tubular member. A second or proximal motor is disposed in the handle and is operable to move the first or distal motor longitudinally relative to the handle to thereby move the core wire longitudinally relative to the outer tubular member. The second or proximal motor is disposed in a coaxial relationship with the first or distal motor. Rotational and/or longitudinally directed forces may be manually applied to the handle to move the tubular member and core wire relative to a patient's body.