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OV.F 7 (V.F) VX (V x F) O (Vf) x F (V.F). F

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.6: Quadratic Functions

Problem 11E

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Question

Let f be a scalar-valued function and F a vector field defined on R^3. ∇f iis the gradient of the function f. Show whether the operations shown produce a scalar function, a vector field, or absolute nonsense.

OV.F
V(V.F)
V x (V x F)
O (Vf) X F
(V.F). F

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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