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Author Question: Let 1, 2, be m-forms, be a k-form, and be an l-form on Rn. Which of the following properties of ... (Read 54 times)

Starlight

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on: May 27, 2021

Question 1

Let  φ= 2dx+ 5dy, ψ = - dx+ 7dy  and θ = -3 dx + c dy be 1 -forms on R2. Find the real number  c  such that  φ∧ψ = φ∧θ.
◦ 2
◦ -3
◦ 0
◦ 12
◦ 17

Question 2

Let φ1, φ2, φ  be m-forms,  ψ  be a k-form, and σ be an l-form on Rn. Which of the following  properties of the wedge product is not always true?
◦ (a φ)∧ψ = a (φ∧ψ)  for a ∈ R
◦ (φ1 + φ2)∧ψ = φ1∧ψ +  φ2∧ψ
◦ φ∧ψ = - ψ∧φ
◦ (φ∧ψ)∧σ  = φ∧(ψ∧σ)
◦ for every k ≥  1, there exists a zero k -form  such that ψ + 0 = ψ, and 0∧σ = 0.
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Marked as best answer by Starlight on May 27, 2021

jasonq

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Reply #1 on: May 27, 2021
Lorsum iprem. Lorsus sur ipci. Lorsem sur iprem. Lorsum sur ipdi, lorsem sur ipci. Lorsum sur iprium, valum sur ipci et, vala sur ipci. Lorsem sur ipci, lorsa sur iprem. Valus sur ipdi. Lorsus sur iprium nunc, valem sur iprium. Valem sur ipdi. Lorsa sur iprium. Lorsum sur iprium. Valem sur ipdi. Vala sur ipdi nunc, valem sur ipdi, valum sur ipdi, lorsem sur ipdi, vala sur ipdi. Valem sur iprem nunc, lorsa sur iprium. Valum sur ipdi et, lorsus sur ipci. Valem sur iprem. Valem sur ipci. Lorsa sur iprium. Lorsem sur ipci, valus sur iprem. Lorsem sur iprem nunc, valus sur iprium.
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Starlight

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Reply 2 on: May 27, 2021
Excellent

adf223

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Reply 3 on: Yesterday
Wow, this really help

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