2021 SQA Adv. Higher Maths Paper 2 No.12 Equations of lines & planes

Finding the equation of a plane given 3 points on it. Finding the equation of a parallel plane. Finding the equation of a line. Finding the point of intersection of a line and a plane. Instructional exercise consisting of question 12 from Paper 2 of the 2021 SQA Advanced Higher Mathematics assessment resource. Where appropriate the alternative methods for solving the problem are also given. Set out in stages of 'try then check' the worked solution to each part of the question. Including indications of where each mark is allocated, and the requirements for that mark, according to the marking scheme.