Given the vector field G a. G at Q b. The scalar component of G at Qin the direction of a = c. The vector component of G at Qin the direction of an yax - 2.5xay + 3az and the point Q (4,5,2). Find: (2ax + ay − 2az)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
Given the vector field G
=
a. G at Q
yax - 2.5xay + 3az and the point Q (4,5,2). Find:
b. The scalar component of G at Qin the direction of an = (2ax + ay – 2az)
c. The vector component of Ğ at Qin the direction of an
d. The angle Ga between the vector field G at Qand an
Answer:
AR
a. G(4,5,2) = 5ax - 10ay + 3az
b. G. an
= -2
c. (G.an) aN = -ax-²7 αy + z zaz
·
d. Ga
= 99.9491°
Transcribed Image Text:Given the vector field G = a. G at Q yax - 2.5xay + 3az and the point Q (4,5,2). Find: b. The scalar component of G at Qin the direction of an = (2ax + ay – 2az) c. The vector component of Ğ at Qin the direction of an d. The angle Ga between the vector field G at Qand an Answer: AR a. G(4,5,2) = 5ax - 10ay + 3az b. G. an = -2 c. (G.an) aN = -ax-²7 αy + z zaz · d. Ga = 99.9491°
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