1. Given the vectors a³ = (2, −1, 3), b` = PQ` where P(1, 1, 1) and Q(5, 1, −1) and c³ = i̇ + j³ + 3k². Find a. ||7b-3c || b. the measure of the angle between a and b. c. the vector projection of a onto c. 2. a. Find the equation of the plane containing the points P(3, 1, 5), Q(−1, −1, −1), and R(−2, 2, 4). b) Find the equation of the plane through P(2, −1,1) that is parallel to II: 2x + 3y +z - 12 = 0. c) Find an equation of the plane that contains the point (2, 0, 3) and the line x + 1 = y = ²¹² 2+4 2

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