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6.9.1 The coordinates of the image of a point in a plane

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

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. . The coordinates of the image of a point in a plane Let ( a a a be the point u  whose image in the plane is required. Then ˆ u a i a j a k Let ax by cz be the equation of the given plane.Writing the equation in the vector form we get r n where ai bj ck .Then the position vector of the image is u v u If ˆ v v i v j v k , then v a α v a α v a α where p aa ba ca Example . Find the image of the point whose position vector is in the plane

📖 Class 12 Mathematics English Volume 1 2025 Edition www.tntextbooks.in · Page 282

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. . The coordinates of the image of a point in a plane Let ( a a a be the point u  whose image in the plane is required. Then ˆ u a i a j a k Let ax by cz be the equation of the given plane.Writing the equation in the vector form we get r n where ai bj ck .Then the position vector of the image is u v u If ˆ v v i v j v k , then v a α v a α v a α where p aa ba ca Example .

Find the image of the point whose position vector is in the plane

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