Find both the vector equation and the parametric equations of the line through (0,0,5) in the direction of the vector v = (4,6,0), where t = 0 corresponds to the given point. The vector equation is (x,y,z) =( , , ) + V Find both the vector equation and the parametric equations of the line through ( - 2, 1,4) and (5, - 2,0), where t= 0 corresponds to the first given point. The vector equation is (x,y,z) = = , , D + l:| t(-5,4,2). t(4,5,2). t(2,4, 5>. t(2,5,4). Find both the vector equation and the parametric equations of the line through (5,1,1) that is perpendicular to the lines x = 6 - 4t, y = 8 + 7t, 2 = 8 - 3t and x = - 4t, y = 8 + t, z = 8 - t, where t= 0 corresponds to the given point. The vector equation is (x,y,z) = , , D + ':| 1(0, 6,26). t(0,0,10). t( 4,8,24). t(0,-1,-12). Find parametric equations for the line segment joining the first point to the second point. (-3, - 8,3) and ( - 7,6, -5) . . . The parametric equations are x = y = Z= for -1 The equation of the plane is E. (Type an equation using x, y, and 2 as the variables.) Find the equation for the plane through Po (3,5, - 2) perpendicular to the following line. x=3 - t, y = 5 + 3t, z= -2t, - co