P = xi + yj +zk Q = x²i -z²k R = xy²j – yzk PROVE THAT (QX R) *(dot) P = R *(dot) (P X Q)

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 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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P = xi + yj +zk
Q = x?i -z?k
R = xy²j – yzk
PROVE THAT
(QX R) *(dot) P = R *(dot) (P X Q)
Transcribed Image Text:P = xi + yj +zk Q = x?i -z?k R = xy²j – yzk PROVE THAT (QX R) *(dot) P = R *(dot) (P X Q)
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