(blender method) To a blender or food processor, add all ingredients except olive oil. Blend until well combined. With motor running, add olive oil through lid opening in a thin stream; continue blending until well mixed.
(whisk method) To a medium bowl, add all ingredients except olive oil. Whisk until combined. Continue whisking rapidly while adding olive oil to mixture in a thin stream; keep whisking until uniformly mixed.
Cover and store in refrigerator for up to 3 weeks. Shake well before using.