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You are given the scalar field = -7y. a) b) c) d) Calculate Vo. Vo =( Calculate V at the point p = (-1, -2, -2). Vo (-1, -2,-2) =( n =( ). Calculate the unit vector in the direction of n = (V¢-n)(−1,−2, –2) (1, 3, 1). ). (Enter your answers to 3d.p.) Calculate the directional derivative Von, of the scalar field , in the direction of n, at the point p. = (Enter your answer to 3d.p.)

You are given the scalar field = -7y. a) b) c) d) Calculate Vo. Vo =( Calculate V at the point p = (-1, -2, -2). Vo (-1, -2,-2) =( n =( ). Calculate the unit vector in the direction of n = (V¢-n)(−1,−2, –2) (1, 3, 1). ). (Enter your answers to 3d.p.) Calculate the directional derivative Von, of the scalar field , in the direction of n, at the point p. = (Enter your answer to 3d.p.)

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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You are given the scalar field = -7y. a) b) c) d) Calculate Vo. Vo =( Calculate V at the point p = (-1, -2,-2). Vo (-1, -2,-2) =( ). Calculate the unit vector in the direction of n = ( 1, 3, 1 ). n = ( ). (Enter your answers to 3d.p.) Calculate the directional derivative Von, of the scalar field , in the direction of n, at the point p. (V¢·n)(−1,−2, –2) = (Enter your answer to 3d.p.)
Transcribed Image Text:You are given the scalar field = -7y. a) b) c) d) Calculate Vo. Vo =( Calculate V at the point p = (-1, -2,-2). Vo (-1, -2,-2) =( ). Calculate the unit vector in the direction of n = ( 1, 3, 1 ). n = ( ). (Enter your answers to 3d.p.) Calculate the directional derivative Von, of the scalar field , in the direction of n, at the point p. (V¢·n)(−1,−2, –2) = (Enter your answer to 3d.p.)
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