Betermine the value of k for which the following planes are perpendicular: π₁ = (1, 2,7) + s(4,2,0) + t(k, 1, 2), s, teR and 1₂ = (3,0,−5) + u(1,0, 5) + v(0, 1, −1), u, veR

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
Section10.6: The Three-dimensional Coordinate System
Problem 6E: For the line l:x,y,z=5,3,-2+n1,2,-2, find a a point of the line. b a direction vector for the line.
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6. Determine the value of k for which the following planes are perpendicular:
π₁ =
(1,2,7) + s(4,2,0) + t(k, 1, 2), s, teR and ₂ = (3,0,−5) + u(1, 0, 5) + v(0, 1, −1), u, ver
Transcribed Image Text:6. Determine the value of k for which the following planes are perpendicular: π₁ = (1,2,7) + s(4,2,0) + t(k, 1, 2), s, teR and ₂ = (3,0,−5) + u(1, 0, 5) + v(0, 1, −1), u, ver
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