Question

The coordinates of the foot of the perpendicular drawn from the point $A(-2, 3, 5)$ on the y-axis are:

• A. $(0, 0, 5)$
• B. $(0, 3, 0)$
• C. $(-2, 0, 5)$
• D. $(-2, 0, 0)$

Hint:

To find the foot of the perpendicular from a point to the y-axis, set the x and z coordinates to 0, keeping the y-coordinate unchanged.

Answer 1

The Correct Option is B

We are given the point $A(-2, 3, 5)$. To find the foot of the perpendicular from this point to the y-axis, we observe that the x-coordinate and z-coordinate of the foot of the perpendicular will be 0, as the perpendicular will lie on the y-axis. Hence, the coordinates of the foot of the perpendicular from $A$ on the y-axis are $(0, 3, 0)$. Thus, the correct answer is $(0, 3, 0)$.