4. Let $2 CR³ be the unit sphere. That is S2 = {(r, y, z) ER³: ² + y² + z² = 1}. (a) Which of the following three points in R³ lic on S2. (1,0,0), (1,1,0), (0,2). (b) Find a point (a, b, c) on S2 with |a| = |b|=|c|.
4. Let $2 CR³ be the unit sphere. That is S2 = {(r, y, z) ER³: ² + y² + z² = 1}. (a) Which of the following three points in R³ lic on S2. (1,0,0), (1,1,0), (0,2). (b) Find a point (a, b, c) on S2 with |a| = |b|=|c|.
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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Let $² ℃ R³ be the unit sphere. That is $² = {(x, y, z) € R³ : z² + y² + z² = 1}.
(a) Which of the following three points in R³ lic on S2. (1,0,0), (1, 1,0), (0, ¹).
(b) Find a point (a, b,c) on S2 with |a| = |b] = [c].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb4bb3b00-a011-4f38-8fc7-b2440ef3107d%2Fb93469ef-b701-4e92-9943-5d839c6c97e6%2Fevemk4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:c
Let $² ℃ R³ be the unit sphere. That is $² = {(x, y, z) € R³ : z² + y² + z² = 1}.
(a) Which of the following three points in R³ lic on S2. (1,0,0), (1, 1,0), (0, ¹).
(b) Find a point (a, b,c) on S2 with |a| = |b] = [c].
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