- D1.2. A vector field S is expressed in rectangular coordinates as S = {125/ [(x-1)²+(y-2)² + (z+1)²]}{(x − 1)ax +(y− 2)ay+(z+1)a₂}. (a) Evaluate S at P (2, 4, 3). (b) Determine a unit vector that gives the direction of S at P. (c) Specify the surface f(x, y, z) on which |S| = 1. Ans. 5.95ax +11.90ay +23.8az; 0.218ax +0.436ay +0.873az; √(x − 1)² + (y-2)² + (z + 1)² = 125 -
- D1.2. A vector field S is expressed in rectangular coordinates as S = {125/ [(x-1)²+(y-2)² + (z+1)²]}{(x − 1)ax +(y− 2)ay+(z+1)a₂}. (a) Evaluate S at P (2, 4, 3). (b) Determine a unit vector that gives the direction of S at P. (c) Specify the surface f(x, y, z) on which |S| = 1. Ans. 5.95ax +11.90ay +23.8az; 0.218ax +0.436ay +0.873az; √(x − 1)² + (y-2)² + (z + 1)² = 125 -
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D1.2. A vector field S is expressed in rectangular coordinates as S = {125/
[(x - 1)²+(y-2)² + (z+1)²]}{(x − 1)ax +(y− 2)ay+(z+1)a₂}. (a) Evaluate
S at P(2, 4, 3). (b) Determine a unit vector that gives the direction of S at P.
(c) Specify the surface f(x, y, z) on which |S| = 1.
Ans. 5.95ax +11.90ay +23.8az; 0.218ax +0.436ay +0.873az;
√(x − 1)² + (y-2)² + (z + 1)² = 125](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3136ae98-cd90-4fed-ab7b-0c8b16ff1f3f%2F99629a50-d3aa-4ae2-98e5-ea4ae0e4b373%2Fbtp9em_processed.jpeg&w=3840&q=75)
Transcribed Image Text:-
D1.2. A vector field S is expressed in rectangular coordinates as S = {125/
[(x - 1)²+(y-2)² + (z+1)²]}{(x − 1)ax +(y− 2)ay+(z+1)a₂}. (a) Evaluate
S at P(2, 4, 3). (b) Determine a unit vector that gives the direction of S at P.
(c) Specify the surface f(x, y, z) on which |S| = 1.
Ans. 5.95ax +11.90ay +23.8az; 0.218ax +0.436ay +0.873az;
√(x − 1)² + (y-2)² + (z + 1)² = 125
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