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If f: R³ → R is the function that sends each point in R³ to the product of its coordinates, what is Dû f(5, 5, 0), where û is the unit vector that points in the direction (1, 1,0)? (Note: You can crank this one out, or you can solve it by thinking geometrically, without doing any computations. Try doing it one way and then checking your work the other way.) O 0 1 3 5 10

If f: R³ → R is the function that sends each point in R³ to the product of its coordinates, what is Dû f(5, 5, 0), where û is the unit vector that points in the direction (1, 1,0)? (Note: You can crank this one out, or you can solve it by thinking geometrically, without doing any computations. Try doing it one way and then checking your work the other way.) O 0 1 3 5 10

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Iff: R → R is the function that sends each point in R³ to the product of its coordinates, what is Dû f(5, 5, 0), where û is the unit vector that points in the direction (1,1,0)? (Note: You can crank this one out, or you can solve it by thinking geometrically, without doing any computations. Try doing it one way and then checking your work the other way.) O 0 1 3 5 10
Transcribed Image Text:Iff: R → R is the function that sends each point in R³ to the product of its coordinates, what is Dû f(5, 5, 0), where û is the unit vector that points in the direction (1,1,0)? (Note: You can crank this one out, or you can solve it by thinking geometrically, without doing any computations. Try doing it one way and then checking your work the other way.) O 0 1 3 5 10
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