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Q2: Find the component of u = 2i +j-3k that orthogonal to i= 3i - j, then verify your result.

Q2: Find the component of u = 2i +j-3k that orthogonal to i= 3i - j, then verify your result.

Calculus: Early Transcendentals
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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Q2: Find the component of u = 2i +j-3k that orthogonal to = 3i – j, then verify your result. Q3: For the surface f(x,y,z) = In (xyz), find: (1) the gradient of f at (1,1,2); (2) the directional derivative %3D at (1,1,2) in the direction of v = i + 2j- 2k; (3) the max. and min. directional derivative and their directions; (4) the parametric equation of the tangent plane and the normal line to the surface at (1,1,2).
Transcribed Image Text:Q2: Find the component of u = 2i +j-3k that orthogonal to = 3i – j, then verify your result. Q3: For the surface f(x,y,z) = In (xyz), find: (1) the gradient of f at (1,1,2); (2) the directional derivative %3D at (1,1,2) in the direction of v = i + 2j- 2k; (3) the max. and min. directional derivative and their directions; (4) the parametric equation of the tangent plane and the normal line to the surface at (1,1,2).
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