Calculate the distance between the following points. Remember to be careful when computing distances in cylindrical or spherical coordinates since your unit vectors are not all uniform over space. a. P₁(4,30%,0) and P₂ (1,180°, 2) in cylindrical coordinates. b. P₁ (√2, 45°, 45°) and P₂ (3,90°, 270°) in spherical coordinates.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
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Calculate the distance between the following points. Remember to be careful when computing
distances in cylindrical or spherical coordinates since your unit vectors are not all uniform over space.
a. P₁(4,30%,0) and P₂ (1,180°, 2) in cylindrical coordinates.
b. P₁ (√2, 45°, 45°) and P₂ (3,90°, 270°) in spherical coordinates.
Transcribed Image Text:Calculate the distance between the following points. Remember to be careful when computing distances in cylindrical or spherical coordinates since your unit vectors are not all uniform over space. a. P₁(4,30%,0) and P₂ (1,180°, 2) in cylindrical coordinates. b. P₁ (√2, 45°, 45°) and P₂ (3,90°, 270°) in spherical coordinates.
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