Question 1 Consider points A(8, 4, -8), B(6, 6, 0), C(2, -2, -8). Find the distance...

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Question 1 Consider points A(8, 4, -8), B(6, 6, 0), C(2, -2, -8). Find the distance from A to the line BC. 1 pts Question 2 The plane that passes through the point (1, -1, 1) and contains the line with parametric equations x = t,y=t/2, z=t/3 has an equation of the form 9z = ax + by. Determine the value of a+b. 1 pts Question 3 Let A and B be two points in the first octant of R (i.e., the x, y, z - coordinates of both A and B are positive) such that A lies on the sphere x + y + z = 169, and B lies on the plane 3x+4y+12x = 507. Suppose the line AB is normal to both the sphere and the plane. Find the length of the segment AB. 1 pts Question 1 Consider points A(8, 4, -8), B(6, 6, 0), C(2, -2, -8). Find the distance from A to the line BC. 1 pts Question 2 The plane that passes through the point (1, -1, 1) and contains the line with parametric equations x = t,y=t/2, z=t/3 has an equation of the form 9z = ax + by. Determine the value of a+b. 1 pts Question 3 Let A and B be two points in the first octant of R (i.e., the x, y, z - coordinates of both A and B are positive) such that A lies on the sphere x + y + z = 169, and B lies on the plane 3x+4y+12x = 507. Suppose the line AB is normal to both the sphere and the plane. Find the length of the segment AB. 1 pts