HI!

These are some questions from a practice paper, could you please solve since I have an exam in 12 hours and these did not come with solutions!

Thank you!

Question 2 (10 marks) Marks (a) Find the equation of the plane which contains the points A(1, 3, -2), B(3, 6. -3) and C(-2,5,4). [4] (b) Given the vectors a = 21 - 5j - 2k and 5= 1 - 4j + 26. (i) Calculate the vectorial product a x 5. (ii) Find the unit vector in the direction of a. 121 (ili) Find the magnitude of the projection of a in the direction of b. 121Question 3 (9 marks) Marks (a) Expand and simplify the following expression fully. [2] (b) When a capacitor C is charged through a resistance R to a final potential V. the equation for the voltage V(f) across the capacitor at any time f is given by: Solve the equation to find the resistance R. 13]