(a) Find the locus of a point, the sum of squares of whose distances from the planes- 6 and x + y + z = 1 is 36x = z = 0, x2 y + z-(b) Aray of light passing through the point 4(1,2,3), strikes the plane x + y + z = 12at 8 and on reflection passes through point C(3, 5, 9). Find the coordinates of point B(c) Find the radius of the circular section in which the sphere vec|r | = 5 cut by the planer. (i+j+ k) = 3√√3

- 0, x − 2 y + z − 6 and x + y + z = 1 is 36 y of light passing through the point 4(1,2,3), stri on reflection passes through point C(3, 5, 9). Fino the radius of the circular section in which the sph + k) = 3√√/3

- 0, x − 2 y + z − 6 and x + y + z = 1 is 36 y of light passing through the point 4(1,2,3), stri on reflection passes through point C(3, 5, 9). Fino the radius of the circular section in which the sph + k) = 3√√/3

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 31E

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Question

(a) Find the locus of a point, the sum of squares of whose distances from the planes
- 6 and x + y + z = 1 is 36
x = z = 0, x
2 y + z
-
(b) Aray of light passing through the point 4(1,2,3), strikes the plane x + y + z = 12
at 8 and on reflection passes through point C(3, 5, 9). Find the coordinates of point B
(c) Find the radius of the circular section in which the sphere vec|r | = 5 cut by the plane
r. (i+j+ k) = 3√√3

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