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3D Geometry

Projection on Plane

Grade 12

Question:

<p>If N be the foot of the perpendicular from point D on the plane face ABC, then find the position vector of N.</p>

<p>(a) (−1, 1, 2)</p>

<p>(b) (1, −1, 2)</p>

<p>(c) (1, 1, −2)</p>

<p>(d) (−1, −1, 2)</p>

Step-by-Step Solution

Key Concept: The foot of perpendicular from a point to a plane is found by projecting the point onto the plane using the normal vector.

The foot of perpendicular from D to plane ABC is found using the plane equation and projection formula. The position vector of N is (1, −1, 2).

Correct Answer: b