Answered: If is a vector from the origin to a…

If is a vector from the origin to a given point of space (x, y, z), show that Show that, except at r = 0, 3. V. = 0 4. V × = 0 where =

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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Question

If is a vector from the origin to a given point of space (x, y, z), show that
Show that, except at r = 0,
3. V.
= 0
4. V × = 0
where =

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