a) Find the acute angle in degree between the planes défined by 8x + 10y + 3z = 4 and 2x + 4y + 6z = 3. %3D %3D

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 44E: By definition, a hyperbola is the locus of points whose positive difference of distances from two...
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a) Find the acute angle in degree between the planes defined by
8x + 10y + 3z = 4 and 2x + 4y + 6z = 3.
b) Find the shortest distance between the point A(2, 5, –7) and the plane
3x – 5y + 6z = 9.
c) Determine whether the line with equation
-3
22
r =
+t
1
-11
-11
lies in the plane that contains the points A(2,5, 6), B(-7, 1,4) and
С(6, —2 — 9).
Transcribed Image Text:a) Find the acute angle in degree between the planes defined by 8x + 10y + 3z = 4 and 2x + 4y + 6z = 3. b) Find the shortest distance between the point A(2, 5, –7) and the plane 3x – 5y + 6z = 9. c) Determine whether the line with equation -3 22 r = +t 1 -11 -11 lies in the plane that contains the points A(2,5, 6), B(-7, 1,4) and С(6, —2 — 9).
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