0 X y! calc school X Menu - PLA X M New assign X A5 Lines ar X MCV4U1IA X y! class - Yahc X Calculus an X Meet - O X C docs.google.com/document/d/17DvA6yaoyEZUvGjqMWRc30FHYw_16TgCU2POL7D75XM/edit rw Update TDSB Bookmarks Merton College, wh... MCV4U11A5V1 41 6 E Request edit access Share File Edit View Tools Help Problem 3 [A, 6 points] 31 Consider the lines: l [x, y, z] = [1, 0, 1] + +[3, 0, - 1] 12 [x, y, z] = [1, - 1, 1] + +[3, 0, 4] a) Algebraically classify the mutual position of the lines. C b) If the lines intersect, determine this intersection and the angle between the lines. Otherwise, determine the shortest distance between the lines. Problem 4 [A, 6 points] Consider the planes: n : z- 1= -y - It, : x+ 2y = - 32 + 3 + It2 : 4y = - 62 + 5 - x a) Classify, using normals, the intersection of the planes. b) Solve the system using Gaussian elimination. Show all steps and interpret your final result. c) Classify the system as consistent or inconsistent, dependent or independent. 1:41 PM Type here to search O 4/13/2022