The following situation applies to the attached question The fluid pressure (in atmospheres) at the bottom of a body of liquid of varying depths is given by P(x, y) = 1+ 10 %3D where x and y are measured in meters.

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Chapter5: Inner Product Spaces
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The following situation applies to the attached question
The fluid pressure (in atmospheres) at the bottom of a body of liquid of varying depths is given by
P(x, y) = 1+
10
where x and y are measured in meters.
Transcribed Image Text:The following situation applies to the attached question The fluid pressure (in atmospheres) at the bottom of a body of liquid of varying depths is given by P(x, y) = 1+ 10 where x and y are measured in meters.
Consider the expression VP(1, 2)
Select all the statements that are true
(a) This represents the fluid pressure at the coordinate (1,2)
(b) The vector <1,2> points in the direction where the fluid pressure is increasing the most
(c) VP(1, 2) has units "fluid pressure per meter"
(d) –VP(1,2) points in the direction where the fluid pressure is decreasing the most
(e) |VP(1,2)| > DP(1,2) for any vector ű
(a)
I (b)
1 (c)
1 (d)
(e)
Transcribed Image Text:Consider the expression VP(1, 2) Select all the statements that are true (a) This represents the fluid pressure at the coordinate (1,2) (b) The vector <1,2> points in the direction where the fluid pressure is increasing the most (c) VP(1, 2) has units "fluid pressure per meter" (d) –VP(1,2) points in the direction where the fluid pressure is decreasing the most (e) |VP(1,2)| > DP(1,2) for any vector ű (a) I (b) 1 (c) 1 (d) (e)
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