Expert Math Class 12 Level 8

If the direction vector of a line is proportional to the normal vector of a plane, how is the line related to the plane?

यदि line की direction vector plane की normal vector के proportional है, तो line plane से कैसी होगी?

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Correct Answer

B. Perpendicular

Explanation

Step 1: Identify perpendicular line-plane relation. Step 2: The normal vector of a plane is perpendicular to the plane, so a line with proportional direction is also perpendicular to the plane. Step 3: Exam tip: Line direction parallel to normal means line perpendicular to plane.

Step 1: अवधारणा perpendicular line-plane relation है। Step 2: plane की normal vector plane के perpendicular होती है, इसलिए proportional direction वाली line भी plane के perpendicular होगी। Step 3: Exam note: line direction ∥ normal means line ⟂ plane।

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