1. (a) Find an equation of the sphere that passes through the point (6, -2, 3) and has center (-1, 2, 1). 3ad10 (b) Find the curve in which this sphere intersects the yz-plane. (c) Find the center and radius of the sphere boy ob word F x² + y² + z² - 8x + 2y + 6z + 1 = 0 obwoll St
1. (a) Find an equation of the sphere that passes through the point (6, -2, 3) and has center (-1, 2, 1). 3ad10 (b) Find the curve in which this sphere intersects the yz-plane. (c) Find the center and radius of the sphere boy ob word F x² + y² + z² - 8x + 2y + 6z + 1 = 0 obwoll St
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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Question
1
Transcribed Image Text:(u +
W
EXERCISES
1. (a) Find an equation of the sphere that passes through the point
(6, -2, 3) and has center (-1, 2, 1).onadto
(b) Find the curve in which this sphere intersects the yz-plane.
(c) Find the center and radius of the sphere oy ob
x² + y² + z² - 8x + 2y + 6z + 1 = 0
2. Copy the vectors in the figure and use them to draw each of the
following vectors.
(a) a + b
analo
(b) a - b (c) - a
(d) 2a + b
noitaupe salopes bns nousupa 101304 s
a
|v|=3
owd tillsoy ob woll
Oy
45°
b
3. If u and v are the vectors shown in the figure, find u v and
|ux v. Is u X v directed into the page or out of it?
|u|=2
woll (n) ar
OH (d)
H
6
7
8.
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