Determine the value of kk so that these planes in R^3: 3kx+y−5kz=-10 2x−3y+z=−12 are orthogonal. (Give all steps)

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 21E
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Determine the value of kk so that these planes in R^3:

3kx+y−5kz=-10
2x−3y+z=−12

are orthogonal. (Give all steps)

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