Tugas Personal ke-2 (Minggu 7 / Sesi 11) 1. Given three points A 1, 2 , B 2, 1 , and C 0,3 . Determine: a. Equation of the line through A and B in vector, parametric and Cartesian form. b. Equation of the line through A and C in vector, parametric and Cartesian form. c. Equation of the line through B and C in vector, parametric and Cartesian form. 2. Given three points A 1, 1, 1 , B 2, 2,1 , and C 0,1, 2 . Determine: a. Equation of the line through A and B in vector and coordinate form. b. Equation of the line through A and C in vector and coordinate form. c. Equation of the line through B and C in vector and coordinate form. 3. Given three points A 1, 1, 1 , B 2, 2,1 and C 0,1, 2 . Determine: a. b. c. d. e. Equation of the plane through A , B and C and its normal vector. Equation of the line of intersection of plane in no.1 and plane x y z 1 0 . Equation of the plane through A and orthogonal to vector BC . Equation of the plane through B and parallel to plane x 2 y 3 z 4 0 . Distance between C to plane x 2 y 2 z 1 0 . MATH6078 - Linear Algebra