Three vectors extending from the origin are given as r1 = (7, 3, −2),r2 = (−2, 7, −3), and r3 = (0, 2, 3). Find (a) a unit vector perpendicular to both r1 and r2; (b) a unit vector perpendicular to the vectors r1 − r2 and r2 − r3; (c) the area of the triangle defined by r1 and r2; (d) the area of the triangle defined by the heads of r1, r2, and r3.
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