In nature, substances often possess a crystalline structure. The basic component of a crystal is the unit cell, such as the rectangular parallelepiped shown. ( Figure 1) (For this problem, take L₁, L2, and L3 as positive.) When a question asks for a vector, express your answer as an ordered triplet. That is, a vector with Figure A H O L₁ V₂ V3 S B G 1 of 1 2.6.4 Part C What is V3. the vector from point O to point C? Express your answer in terms of some or all the variables L₁, L2, and L3. V₂ = Part D VAΣo↓t vec 1 What is the sum 2V3 + 3V₂? Express your answer in terms of some or all the variables L₁, L2, and L3. ▸ View Available Hint(s) 195] ΑΣΦ 2V3+ 3V2= Part E V₂ = Ivec IT vec ? 1 What is the length of vector V₁? Express your answer in terms of some or all the variables L₁, L2, and L3. ▸ View Available Hint(s) IVE| ΑΣΦ WWW ? ?
In nature, substances often possess a crystalline structure. The basic component of a crystal is the unit cell, such as the rectangular parallelepiped shown. ( Figure 1) (For this problem, take L₁, L2, and L3 as positive.) When a question asks for a vector, express your answer as an ordered triplet. That is, a vector with Figure A H O L₁ V₂ V3 S B G 1 of 1 2.6.4 Part C What is V3. the vector from point O to point C? Express your answer in terms of some or all the variables L₁, L2, and L3. V₂ = Part D VAΣo↓t vec 1 What is the sum 2V3 + 3V₂? Express your answer in terms of some or all the variables L₁, L2, and L3. ▸ View Available Hint(s) 195] ΑΣΦ 2V3+ 3V2= Part E V₂ = Ivec IT vec ? 1 What is the length of vector V₁? Express your answer in terms of some or all the variables L₁, L2, and L3. ▸ View Available Hint(s) IVE| ΑΣΦ WWW ? ?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
Problem 14EQ: In Figure 1.24, A, B, C, D, E, and F are the vertices of a regular hexagon centered at the origin....
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