Question

The foot of the perpendicular from the point \( (7, 14, 5) \) to the plane \( 2x + 4y - z = 7 \) is:

• A. \( (8, 2, 3) \)
• B. \( (8, 3, 2) \)
• C. \( (2, 5, 6) \)
• D. None of these

Hint:

To find the foot of the perpendicular, use the direction ratios of the plane's normal vector and apply the appropriate formula.

Answer 1

The Correct Option is A

Step 1: Find the foot of the perpendicular.
The formula for the foot of the perpendicular from a point to a plane involves using the direction ratios of the normal vector to the plane. By solving the equation, we get the foot of the perpendicular as \( (8, 2, 3) \).
Thus, the correct answer is (1).