A vector field is specified as G = 24xya, + 12(x² + 2)a, + 18z²a.. Given two points, P(1, 2, – 1) and Q(-2, 1, 3), find: (a) G at P; (b) a unit vector in the direction of G at Q; (c) a unit vector directed from Q toward P; (d) the equation of the surface on which |G| = 60.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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A vector field is specified as G = 24xya, + 12(x² + 2)a, + 18z²a.. Given
two points, P(1, 2, –1) and Q(-2, 1, 3), find: (a) G at P; (b) a unit vector
in the direction of G at Q; (c) a unit vector directed from Q toward P; (d)
the equation of the surface on which |G| = 60.
Transcribed Image Text:A vector field is specified as G = 24xya, + 12(x² + 2)a, + 18z²a.. Given two points, P(1, 2, –1) and Q(-2, 1, 3), find: (a) G at P; (b) a unit vector in the direction of G at Q; (c) a unit vector directed from Q toward P; (d) the equation of the surface on which |G| = 60.
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