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1. Show that the equation represents a sphere, and find its center and radius. 7 + g +7+% – 8G + He = 7

1. Show that the equation represents a sphere, and find its center and radius. 7 + g +7+% – 8G + He = 7

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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C Show that the equation represents a sphere, and find its center and radius. 1. P +f +2 + 4 – 8G +He = 7 Find a vector that is orthogonal to both v = (1,–2,3) and w = (2, 1, –1). 2.
Transcribed Image Text:C Show that the equation represents a sphere, and find its center and radius. 1. P +f +2 + 4 – 8G +He = 7 Find a vector that is orthogonal to both v = (1,–2,3) and w = (2, 1, –1). 2.
3. Given a = (--6,6, 3) and b= (1,-1, -2) (a) Give the exact value of the angle between vectors a and b. (b) Find the unit vector, u, in the direction of a. (c) Find the scalar projection on b onto u. (d) Find the vector projection of b onto u. (e) What is the vector projection of b on to a?
Transcribed Image Text:3. Given a = (--6,6, 3) and b= (1,-1, -2) (a) Give the exact value of the angle between vectors a and b. (b) Find the unit vector, u, in the direction of a. (c) Find the scalar projection on b onto u. (d) Find the vector projection of b onto u. (e) What is the vector projection of b on to a?
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