Question

The coordinates of the foot of the perpendicular drawn from the point \( (0, 1, 2) \) on the \( x \)-axis are given by:

• A. \( (1, 0, 0) \)
• B. \( (2, 0, 0) \)
• C.
• D.

Hint:

The foot of the perpendicular to an axis lies along that axis, keeping all other coordinates zero.

Answer 1

The Correct Option is D

Step 1: Define the x-axis.
The \( x \)-axis is defined by all points of the form \( (x, 0, 0) \). Step 2: Foot of the perpendicular.
The foot of the perpendicular from \( (0, 1, 2) \) onto the \( x \)-axis is the closest point on the \( x \)-axis. Since \( x = 0 \), the coordinates are: \[ (0, 0, 0). \] Step 3: Conclusion.
The foot of the perpendicular is: \[ \boxed{(0, 0, 0)}. \]