Vector and Parametric Equations of a Line in 2D & 3D 1. Find the x and y-intercepts of these lines: a. r = (3, 1) + t(- 3,5), tER b. x = - 6 + 2s and y = 3 - 2s, SER 2. Determine the cartesian equation for a line that passes through the point (4,-3) and is perpendicular to the line r = (2, - 3) + t(5, - 7), tER. 3. Determine an equation in symmetric form of a line parallel to 2+7 and passing through (0,0,2). 4. Determine the perimeter and area of the triangle whose vertices are at the origin and the x and y-intercepts of the line are - y+8 3 5. Determine a vector equation of the line that passes through the origin and is parallel to the line through the points (-4, 5, 6) and (6, -5, 4)