assignment2_solutions - MATH 1300 ASSIGNMENT PROBLEMS(UNIT 2 Solutions[10 1 Let P =(2 3 1 Q =(4 1 2 and R =(1 2-3 be 3 points in R3(a Find the

assignment2_solutions - MATH 1300 ASSIGNMENT PROBLEMS(UNIT...

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MATH 1300 ASSIGNMENT PROBLEMS (UNIT 2) Solutions [10] 1. Let P = (2, 3, 1), Q = (4, 1, 2) and R = (1, 2,-3) be 3 points in R(a) Find the components of the vector PQand PR(b) Find a set of parametric equations for the line through the points P and R. (c) Use the vectors PQand PRto 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. 3 . . Solution : v . 4 t . . 2. A plane passes through 3 non-collinear points P = (2, 1, 0), Q = (1, 3, 1) and R = (2, 2, 3). (a) Find the standard form equation of the plane.

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