* DZL Assignment 8 - Linear Algebra X D2L Practice Midterm Exam II - Line X + polytech.ca/d21/le/content/19135/viewContent/525709/View MA1200 A2 F23 Assignment 8 Name: Total Marks: 28 Due Tue. Nov. 21 1. Find vector and parametric equations for the following lines in IR 3 a) [3 marks] The line containing the points (0, 4, -3) and (10, 2, -4). b) [4] The intersection of the planes x - 2y + z + 5 = 0 and 3x +y- 2z +1 =0 Download Print Activity Details 889 FO % @ $ 8 O 4 5 6 N O P Y U W E R T S D F G H J KMidterm Exam II Solut X DZL Assignment 8 - Linear Algebra X D2L Practice Midterm Exam II - Line X myclass.nwpolytech.ca/d21/le/content/19135/viewContent/525709/View 2. Find vector-parametric and parametric equations for the planes. (Recall that a vector-parametric equation is of the form x = X, + su + tv) a) [3] The plane containing the points (6, 1, -4), (-2, -3, 10) and (0, -9, 0). b) [2] The plane 2x - 4y - z + 8 = 0. Download Print Activity Details 30 88 @ # $ 3 4 5 6 2 O O N W E R T Y U O Q S D F G H Km Exam II Solut X D2L Assignment 8 - Linear Algebra X D2L Practice Midterm Exam II - Line X |+ myclass.nwpolytech.ca/d21/le/content/19135/viewContent/525709/View 3. a) [2] Find the exact radian measure of the angle 0 between v and w, where v = [73 ] and w = [21] b) [2] If v = |1 and w = |2 |find the degree measure, to two decimal places, of the angle 0 between v and w. Download Print Activity Details 30 888 F6 @ # % O N 3 4 5 6 O P Q W E R T Y U S F G H K D4 of 5 70% 4. [2] Find a General Linear Equation for the line in IR that has normal vector n = _s and passes through the point (9, 14). 5. Find a General Linear Equation for the given plane: a) [5] The plane that has parametric equations x = 6s + 7t, y = -3 - 2s + 5t,z = 2+5s -2t b) [5] The plane that contains the points (6, 1, -4), (-2, -3, 10) and (0, -9, 0)