赤く印したところ同士が同じものを示しているのはわかるのですが、なぜA×Bがこれらの式で表せるのかわかりません。なぜですか

5) A= Ai+Ayj+A,k, B= B,i+Byj+B,k ならば A×B= (A,B,-A,B,)i+(A;B.-A,B.)j+(AzB,-A,B.k (2.1) 5)は4)を使って示すことができる。 行列式(2-4 節で述べる)の記号と思いれば, ペクトル積は、 |4, A, j+ Bs |Az A |Ay A.| B。 Bu A×B- B, B。 三 i j k (2.8 =| A』 A, A,

分かる方教えていただきたいです。

3 GRAMMAR A Complete the sentences with was, were, in, or ago. Alan Turing (1) a computer scientist. He born in London over 100 years (3) 1938, he got his PhD from Princeton University. During World War II, he (5) . a code breaker for the British government. Thousands of people (6) saved because of his work. Turing and his coworkers (7) heroes. Turing died (8) 1954. B Make the sentences negative. Example: My grandfather was famous. My grandfather was not famous. 1. The Baker sisters were musicians. 2. Henry Ford was a doctor. 3. The sky was clear last night. 4. The children were excited. 5.I was confused by the first question. c Complete the conversations with was, wasn't, were, or weren't and the subject, if necessary. Example: A: Was Jenna in class yesterday? B: No, she wasn't She at home. was 1. A: Steve and Julia at the beach on Saturday? B: No, They at the library. 2. A: Carlos at the pool last night? B: No, He in his office. 3. A: your brother in Los Angeles last year? B: Yes, 4. A: Mr. and Mrs. Parks in California on vacation last week? B: No, They in Rome. 5. A: you B: No,

分かる方教えて頂きたいです。

2 CONVERSATION A Read the sentences and agree or disagree. Use expressions from the box and give your reasonS. Yeah, you're right. Really? I don't think so. Sorry, but l disagree. I think so, too. Example: Your friend: I think history is a boring subject. You: Really?l don't think so.l like to read about heroes. 1. Your friend: I think English is a difficult language. You: 2. Your friend: Bill Gates is a great hero. You: 3. Your friend: I think our city is a really boring place. You: 4. Your friend: Everything is very expensive in our country. You: Our teacher gives us too much homework! 5. Your friend: You: Number the sentences in order to make a conversation. B Nelson Mandela. I'm writing a paper about a hero. Really? Why is he your choice? Well, he was a great leader who united his country. That's interesting! Who are you writing about?

解答がなくて困っています。 わかる方教えて頂きたいです

| VOCABULARY A Circle the best word to complete each sentence. 1. Educators / Travelers teach people. 2. Doctors / Authors write books for a living. 3. Politicians / Explorers lead research trips. 4. Speakers / Scientists give presentations to people. 5. Musicians/ Ambassadors work for the government. 6. Founders / Activists run their own companies. B Which word is different? Cross out the word that doesn't fit. Example: scientist speaker researcher 1. teacher educator activist 2. director traveler leader politician ambassador 3. doctor explorer author 4. writer C Complete the sentences. Use words from A and B. There may be more than one correct answer. need passports. 1. talk to large groups of people. 2. try to change the world. are leaders of companies. 3. 4. discover new things. 5. Which jobs require a person to be brave? Explain your answer.

TOEFLの誤りをひとつ選択する問題です。37の答えはCなのですが、正しく直すとどうなるかがわかりません…どなたか教えてください🙏

35. Electric lamps came into widespread use during the eariy 1000 replaced once-popular type of fat, gas, or oil lamps for almost every purpose. A B C D 36. Located in Canada, the Columbia Icefield covers area of 120 square miles and is B A 3,300 feet thick in some places. TviO 2oie abaoob C D 37. Composer Richard Rodgers and lyricist Oscar Hammerstein II brought to the musical allivieM oecmnoH A Oklahoma! extensive musical and theatrical backgrounds as well as familiar with the C d B traditional forms of operetta and musical comedy. D aha 38. Although traditional fiutes are among the world's oldest musical instruments, but the 0 09nel B tong To yodmt odt of bosh A flute used in orchestras today is one of the most technically sophisticated. C D 10oeo to auoilim abnid boeoleyo is te ybd ondes 39. Rice, which it still forms the staple diet of much of the world"'s population, grows B A nd aue best in hot, wet lands.

この問題は自分でf(x)を求めて積分するという解釈で合っていますか？教えて欲しいです、よろしくお願いします

(1 point) You are given the four points in the plane A - (8,-2), B- (10,6), C = (12,-5), and D = (14,6). The graph of the 14 function f() consists of the three line segments AB, BC and CD. Find the integral | f(z) da by interpreting the integral in terms of sums and/or differences of areas of elementary figures. 14 f(z) da = 8

画像の()に当てはまる単語を教えてください！

Unit 3 Matsuri: Festivals in Japan Pre-Writing []内のヒントを参考に、英文を完成させましょう。( た文字で始まる語が入ります。 )には与えられ 1) Mikoshi is a portable ( s hríne [写真1 神輿は、地元の人々が肩に担いでねりあるく小さな神社だ。] ) carried by (10ca ) people in a parade. 2) Mikoshi isa(r [写真1 神輿は神社を模した物で、王座の形に作られている。] ) of shrine (s ) like a throne. 3) Looking around the food ( s )is a (f ) part of Japanese festivals. [写真2 露店を見て回るのは日本の祭りの楽しみのひとつだ。] 4) In some seaside towns, mikoshi are carried into the sea to ( p ) the bodies and (s )of fishermen. [海辺の町では、漁師たちの心身を清めるために神輿を海の中まで担ぎ込むこともある。) )in the Awa-odori festival in 5) Lots of (dAncery )in unique costumes (p Tokushima. 【徳島県の阿波踊りでは、 独特の衣装を身に着けたたくさんの踊り手たちが舞い踊る。)

問題をやったのですが絶対に違うと思うので直して欲しいです😭😭難しくてわからなかったので教えて欲しいです🙇‍♀️🙏

Exercise 3.2 Would, Used To, or Simple Past? Complete the article about life before electricity. Use used to or would and the verbs in parentheses, or use the simple past form of the verbs. Sometimes more than one answer is correct. Alessandro Volta_invented_(invent) the first battery in 1800. How_did people _use to live_ (live) in the days before electricity? Voltaic battery Most people Lused to burn (burn) oil lamps or candles for light. When it got cold, they_Used to make (make) open fires to keep warm. People _diolu'tot travel_(not travel) long distances. Most people only_would visit (visit) neighbors or nearby relatives. Before Volta's battery, many scientists_woud uot Think (not think) that electricity was useful. And in the early days of electricity, some people_(used to think (be) afraid of it. Some people (think) it was dangerous. They _Used ro be Lwould belleve (believe) that electricity had a bad effect on society. They even (10) Science and Society 63

この問題の(6)の答えの出し方が分かりません。

は はえ 1.物体の運動 015 0-tグラフと相対速度 [ 難易度©○○0●] 4 この 物体Aが時刻t3D Os にx軸の原点z=Om を出発し,続いて物体Bが時刻t3D 3s に原点 を出発した。右のグラフの太い実線は物体A, 太い点線は物体Bの速度 [m/s] の時間変化 を表している。両物体はx軸上を衝突せずに 運動するものとして, 次の各問いに答えよ。 (1) 時刻t=D 3s からt3D7s までの物体Aの平 均の速さは何 m/s か。 (2) 時刻t= Os からt=D 4s までの物体Aの移 動距離(通過した道のり)は何 mか。 (3) 時刻t= 6s における物体Aの位置座標:は何m か。 (4) 物体Aの加速度a [m/s] の時間変化をグラフで表せ。 (5) 物体Bから見た物体Aの速度が1m/s になる時刻をは何sか。 すべて答えよ。 (6) 物体Aと物体Bが同じ位置にいる時刻とは何Sか。 (m/s) 4 A 12 0 3 5 7 Hls] -2 5 鉛直投げ上げ[難易度 ○○O©] 地上からボールを大きさむ。の初速度で鉛直上方に投げ上げる。 重力加速度の きさをgとして、次の値を求めよ。 1の高さん 大 学入一

入ってないところと、書いてあるところの答え合わせをお願いしたいです！ よろしくお願いします！

(line 23) 2 Incomplete Sentences Complete each sentence with the correct choice. 1. I like_reading the movie reviews after I've seen a film. (A) look (B) looking (C) read (D) reading 2. I can't stand in line to buyaticket, so I order mine over the Internet. (A) having wait (B) wait (C) waiting (D) have to wait 3. I'm thinking about _ gorm? to the movies this weekend. Would you like to go? (A) going (B) having gone (C) go (D) to go Sceing a movie on a big screen is far better than watching it at home. 4. (A) Going (B) Looking (C) Having (D) Seeing the script before they begin the film. 5. They asked me to (A) rewrite / shoot (C) rewriting / shoot (B) rewrite / shooting (D) rewriting / shooting