In: Math
1.Find an equation for the plane containing the two (parallel) lines v1 = (0, 1, −9) + t(4, 9, −3) and v2 = (9, −1, 0) + t(4, 9, −3).
2.Find a parametrization for the line perpendicular to (6, −1, 1),parallel to the plane 6x + y − 8z = 1,and passing through the point (1, 0, −7).(Use the parameter t. Enter your answers as a comma-separated list of equations.)
In this question the concept of the vector form of line and plane is used. This contains 2 questions whose step by step solution are provided with each required parameter.