7. Answer TRUE or FALSE. If the answer is FALSE you must make the correction of the statement in order The cross product of vectors u and is equal to the area of parallelogram with (a) sides u and 7. ƏF2 _The vector field F = F1 i + F2 j is path independent if ƏF2 0. dy (b) _The potential f of a path independent vector field F satisfies f = div F. (d) In spherical coordinates x = pcoS o cos 0, y = p sin o cos 0, z = p cos 0. (e) and the triple integral. _The Stokes theorem relates the flux of the vector field through the closed surface

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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7. Answer TRUE or FALSE. If the answer is FALSE you must make the correction of the statement in
order
The cross product of vectors u and v is equal to the area of parallelogram with
(a)
sides u and .
_The vector field F = F1 i + F2 j is path independent if
ƏF2
= 0.
(b)
(c)
_The potential f of a path independent vector field F satisfies f =
div F.
(d)
In spherical coordinates x = pcos o Cos 0, y = p sin o cos 0, z = p cos 0.
(e)
and the triple integral.
_The Stokes theorem relates the flux of the vector field through the closed surface
Transcribed Image Text:7. Answer TRUE or FALSE. If the answer is FALSE you must make the correction of the statement in order The cross product of vectors u and v is equal to the area of parallelogram with (a) sides u and . _The vector field F = F1 i + F2 j is path independent if ƏF2 = 0. (b) (c) _The potential f of a path independent vector field F satisfies f = div F. (d) In spherical coordinates x = pcos o Cos 0, y = p sin o cos 0, z = p cos 0. (e) and the triple integral. _The Stokes theorem relates the flux of the vector field through the closed surface
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