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2. (a) Draw and parametrize the circle of radius two centered at (1, −1, 1) and lying on the plane x+y+z= 1. Hint: find two orthogonal unit vectors which are parallel to the plane.

2. (a) Draw and parametrize the circle of radius two centered at (1, −1, 1) and lying on the plane x+y+z= 1. Hint: find two orthogonal unit vectors which are parallel to the plane.

Advanced Engineering Mathematics
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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2. (a) Draw and parametrize the circle of radius two centered at (1, −1, 1) and lying on the plane x+y+z= 1. Hint: find two orthogonal unit vectors which are parallel to the plane. (b) Find parametric equations for two circles C₁ and C₂ in space such that C₁ and C₂ have the same radius; C₁ and C₂ intersect at the points P(2,−1, 3) and Q(2, 1, 3) and nowhere else. ●
Transcribed Image Text:2. (a) Draw and parametrize the circle of radius two centered at (1, −1, 1) and lying on the plane x+y+z= 1. Hint: find two orthogonal unit vectors which are parallel to the plane. (b) Find parametric equations for two circles C₁ and C₂ in space such that C₁ and C₂ have the same radius; C₁ and C₂ intersect at the points P(2,−1, 3) and Q(2, 1, 3) and nowhere else. ●
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