(a) Generalize Exercise 5.1.8 to find the distance between a point (x 0 , y 0 ,...

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(a) Generalize Exercise 5.1.8 to find the distance between a point (x0, y0, z0)T and the plane ax + by + cz + d = 0 in R3


(b) Use your formula to compute the distance between (1, 1, 1)and the plane 3x − 2y + z = 1.



Data From Exercise 5.1.8


(a) Prove that the distance from the point (x0, y0)T to the line ax + by = 0 is image.


(b) What is the minimum distance to the line ax + by + c = 0?

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Applied Linear Algebra

ISBN: 9783319910406

2nd Edition

Authors: Peter J. Olver, Chehrzad Shakiban

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