Let ,
,
be m-forms,
be a k-form, and
be an l-form on
. Which of the following properties of the wedge product is not always true?
A) ( +
)
11ee7bbb_54a1_6c9e_ae82_5397d9492c20_TB9661_11 = 11ee77e1_778e_5ec4_a0f8_3957ae8e208f_TB9661_11 11ee7bbb_c9fe_971f_ae82_3b4fcccd2417_TB9661_11 11ee7bbb_54a1_6c9e_ae82_5397d9492c20_TB9661_11 + 11ee77e1_778e_5ec5_a0f8_914525eec565_TB9661_11 11ee7bbb_c9fe_971f_ae82_3b4fcccd2417_TB9661_11 11ee7bbb_54a1_6c9e_ae82_5397d9492c20_TB9661_11
B) (11ee7bbc_2f42_a9a0_ae82_03df16557ec6_TB9661_11 11ee7bbb_c9fe_971f_ae82_3b4fcccd2417_TB9661_11 11ee7bbb_54a1_6c9e_ae82_5397d9492c20_TB9661_11 ) 11ee7bbb_c9fe_971f_ae82_3b4fcccd2417_TB9661_11 11ee7bbc_854e_b551_ae82_a1ccb48ff30b_TB9661_11 = 11ee7bbc_2f42_a9a0_ae82_03df16557ec6_TB9661_11 (11ee7bbb_54a1_6c9e_ae82_5397d9492c20_TB9661_1111ee7bbb_c9fe_971f_ae82_3b4fcccd2417_TB9661_11 11ee7bbc_854e_b551_ae82_a1ccb48ff30b_TB9661_11 )
C) 11ee7bbc_2f42_a9a0_ae82_03df16557ec6_TB9661_11 11ee7bbb_c9fe_971f_ae82_3b4fcccd2417_TB9661_11 11ee7bbb_54a1_6c9e_ae82_5397d9492c20_TB9661_11 = - 11ee7bbb_54a1_6c9e_ae82_5397d9492c20_TB9661_11 11ee7bbb_c9fe_971f_ae82_3b4fcccd2417_TB9661_11 11ee7bbc_2f42_a9a0_ae82_03df16557ec6_TB9661_11
D) (a 11ee7bbc_2f42_a9a0_ae82_03df16557ec6_TB9661_11 ) 11ee7bbb_c9fe_971f_ae82_3b4fcccd2417_TB9661_11 11ee7bbb_54a1_6c9e_ae82_5397d9492c20_TB9661_11 = a (11ee7bbc_2f42_a9a0_ae82_03df16557ec6_TB9661_1111ee7bbb_c9fe_971f_ae82_3b4fcccd2417_TB9661_11 11ee7bbb_54a1_6c9e_ae82_5397d9492c20_TB9661_11 ) for a 11ee7b17_3372_5854_ae82_d19d2ea0c252_TB9661_11 R
E) for every k 1, there exists a zero k-form such that 11ee7bbb_54a1_6c9e_ae82_5397d9492c20_TB9661_11 + 0 = 11ee7bbb_54a1_6c9e_ae82_5397d9492c20_TB9661_11, and 0 11ee7bbb_c9fe_971f_ae82_3b4fcccd2417_TB9661_11 11ee7bbc_854e_b551_ae82_a1ccb48ff30b_TB9661_11 = 0.
Correct Answer:
Verified
Q10: Q11: Let Q12: Q13: Simplify a dx Q14: Let Q16: Let ei , i = 1, 2, Q17: Let ψ = 12dy∧dz -10 dx∧dz + Q18: Let σ = d Q19: Show that if φ is a k-form Q20: Let Unlock this Answer For Free Now! View this answer and more for free by performing one of the following actions Scan the QR code to install the App and get 2 free unlocks Unlock quizzes for free by uploading documents