assignment2 - MATH 1300 ASSIGNMENT PROBLEMS(UNIT 2[10 1 Let P =(1 3 1 Q =(2 1 2 and R =(2 1,3 be 3 points in R3(a Find the components of the vector PQ

assignment2 - MATH 1300 ASSIGNMENT PROBLEMS(UNIT 2[10 1 Let...

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1 MATH 1300 ASSIGNMENT PROBLEMS (UNIT 2) [10] 1. Let P = (1, 3, –1), Q = (2, 1, –2) and R = (–2, 1,–3) be 3 points in R 3 . (a) Find the components of the vector PQ and PR . (b) Find a set of parametric equations for the line through the points P and R. (c) Use the vectors PQ and PR to find a normal vector to the plane through the 3 points P, Q and R. (d) Find a standard form equation of the plane through the 3 points P, Q and R. [10] 2. Let 12 : 3 2 2 6 and : 2 3 9 x y z x y z   ππ be two planes in R 3 .

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