Consider the vector field F=(e1−y−x)i.
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Consider the vector field F=(e1−y−x)i.

[From: ] [author: ] [Date: 11-11-06] [Hit: ]
as y increases the vector lengths decreases, provided x remains constant.(d) length of vector field increases as (x+y) > 0 increases, and is independent of z.......
Assume x,y>0 and decide if
(a) The vector field is parallel to y, x axis or neither .

(b) In the vector field, as x increases the vector lengths . increase, decrease, neither

(c) In the vector field, as y increases the vector lengths increase, decrease, neither

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(a) Vector field is parallel to x axis , rather along x axis, and perpendicular to y axis. It is in xy plane.
(b) In the vector field, as x increases the vector lengths, decreases, provided y remains constant.
(c) In the vector field, as y increases the vector lengths decreases, provided x remains constant.
(d) length of vector field increases as (x+y) > 0 increases, and is independent of z.
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