The line (x−2)/a = (y−2)/b = (z−3)/c is perpendicular to the plane x + 2y + 3z + 4 = 0. What are proportional values for a, b, and c?

The line (x−2)/a = (y−2)/b = (z−3)/c is perpendicular to the plane x + 2y + 3z + 4 = 0. What are proportional values for a, b, and c?

• A. 1, 2, 3
• B. −1, 2, −3
• C. 2, 4, 6
• D. Both A and C

Answer: D) Both A and C

Explanation: If a line is perpendicular to a plane, its direction vector is parallel to the plane's normal. Normal is 1, 2, 3. So a,b,c are proportional to 1,2,3.