This topic contains a solution. Click here to go to the answer

Author Question: Let = a1dx1 + a2dx2 + a3 dx3 1(R3) and = b1dx2dx3 + b2dx3dx1+ b3 dx1dx2 2(R3). If and are ... (Read 80 times)

ghost!

  • Hero Member
  • *****
  • Posts: 560

Question 1

Let φ and ψ be two 1-forms on R3  say  φ= a1dx1 + a2dx2, ψ= b1dx1 + b2dx2. Show that φ∧ψ = 0 if and only if  φ = c ψ for some constant real number c.

Question 2

Let φ= a1dx1 + a2dx2 + a3 dx3 ∈Λ1(R3) and ψ= b1dx2∧dx3 + b2dx3∧dx1+ b3 dx1∧dx2 ∈Λ2(R3). If φ and ψ are identified with the vectors  u = a1 i+ a2 j+ a3 k  and  v = b1 i+ b2 j+ b3 k, respectively, and if then c is equal to
u × v

u + v
u ∙ v
+


Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question
Marked as best answer by ghost! on May 27, 2021

Kjones0604

  • Sr. Member
  • ****
  • Posts: 327
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.
Answer Preview
Only 44% of students answer this correctly




ghost!

  • Member
  • Posts: 560
Reply 2 on: May 27, 2021
Great answer, keep it coming :)


meow1234

  • Member
  • Posts: 333
Reply 3 on: Yesterday
:D TYSM

 

Did you know?

Certain topical medications such as clotrimazole and betamethasone are not approved for use in children younger than 12 years of age. They must be used very cautiously, as directed by a doctor, to treat any child. Children have a much greater response to topical steroid medications.

Did you know?

A headache when you wake up in the morning is indicative of sinusitis. Other symptoms of sinusitis can include fever, weakness, tiredness, a cough that may be more severe at night, and a runny nose or nasal congestion.

Did you know?

Pregnant women usually experience a heightened sense of smell beginning late in the first trimester. Some experts call this the body's way of protecting a pregnant woman from foods that are unsafe for the fetus.

Did you know?

Colchicine is a highly poisonous alkaloid originally extracted from a type of saffron plant that is used mainly to treat gout.

Did you know?

Interferon was scarce and expensive until 1980, when the interferon gene was inserted into bacteria using recombinant DNA technology, allowing for mass cultivation and purification from bacterial cultures.

For a complete list of videos, visit our video library