I need solve this question of calculus III

Question 9 Flag question Work Problems: You must provide clear and complete solutions for each of the following work problems. Question 1 a = 6i + 4j + 8k and b = 9i - 6j + 12k. a, . `Determine whether the vectors a and b are orthogonal, parallel or neither. b) I - , Compute the angle between the two vectors a and b. c) I. Find a unit vector v orthogonal to both of the vectors a and b. Sketch a diagram of the three vectors v, a and b, and indicate the direction of the vector v. Question 2 a) Show that the equation 6x + 6y - 6z + 3x2 + 3y2 + 3z = 18 represents a sphere, and find its center and the radius. b) Provide two points on the sphere that you have in part a. c) The intersection of the sphere B and the yz-plane is (y - 3)2 + (z + 4)2 = 25. What is the center and the radius of the sphere B? What is the distance of the center of the sphere and the origin? Provide your detail solution