Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Show that if F = xi+yj + zk, then VXF=0.
The curl of a vector field F = Mi+Nj + Pk is as follows.
ap ƏN
?M
ap
dy dz
dz
?x
Use the formula above to find the curl of F=xi+yj + zk.
curl F = VXF=
VxF =
V x (xi+yj+zk)
dz dy
= - i+
dy dz
=
i+
İ+
dx dz
dz ?x
+
k
j+
dy ax
?x ду
ƏN
ax
k
ƏM
ду](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d576798-e517-451f-b302-9c2c35ed41b2%2Fe980be6e-7598-4ee4-a4a9-6dc8a470a1a6%2F5wz1nds_processed.png&w=3840&q=75)
Transcribed Image Text:Show that if F = xi+yj + zk, then VXF=0.
The curl of a vector field F = Mi+Nj + Pk is as follows.
ap ƏN
?M
ap
dy dz
dz
?x
Use the formula above to find the curl of F=xi+yj + zk.
curl F = VXF=
VxF =
V x (xi+yj+zk)
dz dy
= - i+
dy dz
=
i+
İ+
dx dz
dz ?x
+
k
j+
dy ax
?x ду
ƏN
ax
k
ƏM
ду
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