Please solve the following Fully and quick!. Thanks hero!

Problem 1 A plane and a line is given below: It": 2x3y+z=7 A. Determine the point of intersection between the plane and the line (A:1,C:2) B. Find the angle between the line and the plane (leave answer as 00.96) (022) Problem 2 Three planes are given: III: x+y+22=6 If}: x-y-4:=-2 1r]: 31+5y+12z=26 Use Gaussian Elimination (The matrix) to determine the intersection and describe the intersection. (i:3.A:2.C:1) Problem 3 (7 Marks) a. In the following 'diagram, the point P(6, 2, 4) is located in R3. What are the A. coordinates of A, B. C, D, E, and FI (K:3, 1:3) b. Draw the vector OP. D m B. (K:3) In triangle ABC, point D is the midpoint of BC and point E is the midpoint of AC. Vectors are marked as shown. Use vectors to prove that DE = - BA. b