1. If f is a differentiable scalar function and F is a differentiable vector field, which of the following expressions do not make sense? i) Gradient of f ii) Divergence iii) Curl of f iv) Curl of F v) Divergence of Curl of F of f a) Only i and iii b) Only ii, iv and v c) Only ii and iii d) Only iv e) Only iv and v

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
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1. If f is a differentiable scalar function and F is a differentiable vector field, which of the following
expressions do not make sense?
i) Gradient of f
ii) Divergence of f
iii) Curl of f
iv) Curl of F
v) Divergence of Curl of F
a)
b)
c) Only ii and iii
Only iv
d)
e) Only iv and v
Only i and iii
Only ii, iv and v
Transcribed Image Text:1. If f is a differentiable scalar function and F is a differentiable vector field, which of the following expressions do not make sense? i) Gradient of f ii) Divergence of f iii) Curl of f iv) Curl of F v) Divergence of Curl of F a) b) c) Only ii and iii Only iv d) e) Only iv and v Only i and iii Only ii, iv and v
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