The two handwritten pictures are my solutions for the first two, I would appreciate if you checked them to see if I have answered them right. But I need help for questions 3-7 because I can't answer them.

Intersecting Planes Assignment 1 - C contains A ( 6, 10, 4 ) B ( 10, 4, 6 ) (( 4 , 6 , 10 ) Vector equation : AB - [ 4 , - 6 , 2] AC - [ - 2 , - 4 , 6 ] TC : 7 = [ 6, 10, 41 + 6 [ 4 , - 6, 21 + 5 [ - 2, - 4, 6] t,SER Cartesian equation : AB x AC = 4 , - 6, 21 x [ - 2 , - 4, 61 = [ ( -6 ) (6 ) - ( 2 ) ( 4 ) , (2 ) ( - 2 ) - (4 ) ( 6 ) , ( 4 ) ( - 4 ) - ( - 5 ) ( - 2 ) - 1 - 28, - 28, - 28 Asct By + C2 + D= 0 - 28x -284-28x + D=0- Sub A (6, 10, 4) - 28 ( 6)- 28 ( 10 ) - 28 ( 4 ) + D = 0 - 168 - 280 - 112 + D =0 D5 560 16 : - 28M - 284 - 282 + 560=0 .. TC ,: 24 +4 + 2 - 20=0\f1. Please create a vector and Cartesian equation for a plane (It ) that contains points A(6, 10, 4), B(10, 4, 6) and C(4, 6, 10) 2. Create a vector and Cartesian equation for a second plane (It, ) that contains the vector L= [1, 7, 46], point N(4, 1, 43) and point S(3, 12, 1) 3. Find a plane (It,) that intersects with (It ) and the (It,) at exactly 1 point. The normal of It, may not contain any zeros. The point of intersection needs to contain the coordinate x = 9 4. Give the vector and Cartesian equation of the newly created plane (). 5. Show that there is one point of intersection between the three planes and what that point is. 6. Find the angle between (It) and (T, ). 7. Find the shortest distance from the point S(3, 12, 1) to the new plane (n,)