29. Prove that the following systems intersect at a point and then determine the solution: П₁: 2x + y + 6z - 7 = 0 π1: П2: 3x+4y+3z+8=0 П3 x 2y 4z - 9 = 0 Thinking x 2 s+2t 23. Find a normal vector of the plane: y = 3 + 4s - 3t z=4+s+ 4t 24. The point (-2, k, 7) lies on the plane: 4x+5y + 12z 16 = 0. Find the value of k. - 25. Determine if the point (-1, 11) is on the line defined by (x - 3, y − 1) = t (-2, 5), te R.) 26. Find the intercepts of the plane [x, y, z] = [5, 4, 3] + s [1, 0, 1] + t [−1, −4, −2].