Select all of the following that are true If F is a vector field, then div F is a vector field. If F is a vector field, then curl F is a vector field. If F and G are vector fields and divF - divG then F = G If F(x, y, z) (P(x, y, z), Q(x, y, z), R(x, y, z)) is conservative, then V x F = (0,0,0)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 74E: Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors...
Question
Select all of the following that are true
If F is a vector field, then div F is a vector field.
If F is a vector field, then curl F is a vector field.
If F and G are vector fields and divF
-
divG then F = G
If F(x, y, z) (P(x, y, z), Q(x, y, z), R(x, y, z)) is conservative, then V x
F = (0,0,0)
Transcribed Image Text:Select all of the following that are true If F is a vector field, then div F is a vector field. If F is a vector field, then curl F is a vector field. If F and G are vector fields and divF - divG then F = G If F(x, y, z) (P(x, y, z), Q(x, y, z), R(x, y, z)) is conservative, then V x F = (0,0,0)
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