Given the three points A(-5, -1, 4), B(-2, 3, 9), C(18, 19, 15), let: • S1 be the sphere with centre A and radius 10, • S2 be the sphere which has the line segment BC as a diameter, • T be the circle of intersection of S1 and S2, . E be the centre of T, • L1 be the line through B and E, • L2 be the line through A parallel to (9) Using the geom3d package, or otherwise: (i) Find the coordinates of E and enter them in the box below. You should enclose the coordinates with square brackets, eg [1,2,3], and your answer should be exact, ie not a decimal approximation. To prevent typing errors you can copy and paste the answer from your Maple worksheet. [7/29,1447/377,2724/377] (ii) Find a decimal approximation to the angle (in radians) between L1 and L2. Your answer should be correct to 10 significant figures. Enter your answer in the box below. ◎团 (iii) Find the distance between L1 and L2. Your answer should be exact, not a decimal approximation. Enter your answer in the box below using Maple syntax. To prevent typing errors you can copy and paste the answer from your Maple worksheet.