generic · 12th TN - English Medium · MATHEMATICS-VOLUME 1 · Page 263question

the plane from the origin are given

Chapter 6: Chapter 6 · MATHEMATICS-VOLUME 1 · EN medium

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(a) Vector equation of a plane in normal form Theorem . The equation of the plane at a distance p from the origin and perpendicular to the unit normal vector ˆ d is r d Proof Consider a plane whose perpendicular distance from the origin is p . Let A be the foot of the perpendicular from O to the plane. Let ˆ d be the unit normal vector in the direction of OA Then

📖 Class 12 Mathematics English Volume 1 2025 Edition www.tntextbooks.in · Page 263

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(a) Vector equation of a plane in normal form Theorem . The equation of the plane at a distance p from the origin and perpendicular to the unit normal vector ˆ d is r d Proof Consider a plane whose perpendicular distance from the origin is p . Let A be the foot of the perpendicular from O to the plane. Let ˆ d be the unit normal vector in the direction of OA Then

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