Trong không gian với hệ tọa độ \(Oxyz\), cho hai vectơ \(\vec m = \left( {1; - 1;1} \right)\) và \(\vec n = \left( { - 1;1; - 1} \right)\). Côsin của góc giữa hai vectơ \(\vec m\), \(\vec n\) bằng
Hãy suy nghĩ và trả lời câu hỏi trước khi xem đáp án
- $\vec{m}.\vec{n} = 1.(-1) + (-1).1 + 1.(-1) = -1 -1 -1 = -3$
- $|\vec{m}| = \sqrt{1^2 + (-1)^2 + 1^2} = \sqrt{3}$
- $|\vec{n}| = \sqrt{(-1)^2 + 1^2 + (-1)^2} = \sqrt{3}$
Câu hỏi liên quan
Nguồn lực tài chính là:
- Một còi báo động phát sóng âm trong một môi trường đẳng hướng. Tại vị trí cách còi một khoảng 75,0m cường độ âm đo được bằng 0,010 W/m2. Ở khoảng cách 15,0m cường độ âm bằng bao nhiêu
- Dân cư ở nước ta phân bố
Hai mẫu số liệu ghép nhóm
,
có bảng tần số ghép nhóm như sau:
Nhóm
Tần số
3
4
8
6
4
Nhóm
Tần số
6
8
16
12
8
Gọi
,
lần lượt là độ lệch chuẩn của mẫu số liệu ghép nhóm
,
. Phát biểu nào sau đây là đúng?
Bản đồ có tỉ lệ 1:300.000, thì 7cm trên bản đồ tương ứng trên thực địa là bao nhiêu?
Sự thất bại của phong trào Cần Vương (1885-1896) đã minh chứng cho điều gì?
CHỦ ĐỀ 4
(Tham khảo bài văn của chủ đề trong đường link dưới đây ở trang 48)
https://tvsthpt.dlib.vn/app/doc-sach-ebook/d0a01a0e4114
Và trả lời câu hỏi sau:
Theo tiêu chuẩn Việt Nam, tổng lượng metanol trong 1 lít rượu vodka \({{35}^{\circ }}\) không được phép vượt quá (……) mg.
Chọn phát biểu không đúng?
Quang hợp ở thực vật có vai trò gì đối với chính cơ thể của chúng?
Nguyên thủ quốc gia nào sau đây tham dự hội nghị I-an-ta (2-1945)?
Nhận định nào là tác động tích cực của con người tới các thành phần tự nhiên?
Read the following advertisement and mark the letter A, B, C or D on your answer sheet to indicate the option that best fits each of the numbered blanks from 1 to 6.
Humanitarian Imprints: Inspiring Stories Shaping 2025
Be Inspired. Take Action. Make Change.
Do you want to discover how ordinary people create extraordinary change in difficult global situations? The global (1)_________ conference will showcase amazing success stories from around the world. Join us for this life-changing experience!
Our passionate (2)_________ need your generous support to continue their vital mission abroad.
Meet brave volunteers (3)_________ communities recover from devastating natural disasters throughout developing countries. Our organization sends essential supplies (4)_________ affected populations during emergencies.
Let's (5)_________ it, we all have the power to change someone's life for the better every single day. We invite you to join our growing movement and start (6)_________ a meaningful difference in local communities today!
When: May 20-22, 2025
Where: Central Exhibition Hall
Time: 9:00 AM - 7:00 PM
Entry: Free admission
Contact us: info@humanitarianimprints.org | 555-789-0123
Together, we can build a better world!
- Nghiệm của phương trình
là
Sắp xếp các từ, cụm từ sau để được câu đúng.
Nghe tin/ con trai/ mẹ vội vã/ bỏ hết công việc/ bị tai nạn,/ đang ở trong viện/ chạy vào thăm.
Choose the sentence which is closest in meaning with the given one.
The room was so full that we couldn't get in.
PHẦN II. Thí sinh trả lời từ câu 1 đến câu 4. Trong mỗi ý a), b), c), d) ở mỗi câu, thí sinh chọn đúng hoặc sai.
Cho cấp số cộng \[\left( {{u_n}} \right)\] có \[{u_5} = - 15\], \[{u_{20}} = 60\].
a) Cấp số cộng có công sai \(d = 5\).
b) Cấp số cộng có số hạng đầu \({u_1} = - 35\).
c) Cấp số cộng có số hạng thứ \(15\) là \({u_{15}} = 25\).
d) Cấp số cộng có \(28\) số hạng nhỏ hơn \(100\).
Read the following passage about music and mark the letter A, B, C, or D to indicate the option that best fits each of the numbered blanks from 31 to 40.
SOUND FROM THE PAST
Much of the music we listen to today is a mixture of styles from various countries and time periods. A lot of music has roots in older traditional songs heard in many different countries around the world. Traditional, or folk, music is collected over decades, if not centuries. Younger generations learn these songs from their elders through practice and repetition.
Since music can tell us a lot about different cultures through its lyrics, melodies, and the instruments used, researchers and music fans see music as an essential part of history. They fear that traditional and older types of music are slowly disappearing, partly because they are less likely to be written down or recorded, or because the format in which they are recorded is no longer in use. Also, younger generations may not find such music very appealing, so once older generations pass away, the music may die out with them. Whole genres of music may go extinct.
There is a growing effort to preserve music in its many forms. Some researchers create field recordings – those made outside of a recording studio – to capture live performances. For example, in the early 1900s, social scientist Frances Densmore made recordings of Native American songs that had been sung for many generations but were in danger of falling by the wayside. Researchers also transcribe old music by listening to old recordings – sometimes the only one of its kind left. They try to write out the music so that it can be studied and played by modern musicians.
[I] Collecting music is another form of music preservation. [II] Some collectors are extremely passionate about their music and will spend a lot of time and money looking for things that have not been produced or sold for many years. [III] Their efforts help to document the music of different cultures, genres, time periods, and places. [IV] There are also associations and societies to preserve and celebrate very specific kinds of music.
Now, modern technology makes it much easier to preserve music. Smartphones can be used to record music, while the Internet lets us share these recordings and connect with like-minded enthusiasts. Soon, losing a piece of music may be a thing of the past.
Where in paragraph 4 does the following sentence best fit?
For example, some folk musicians from the island of Madagascar punk rock fans still collect cassette tapes from the 70s, while many jazz fans prefer to listen to old vinyl records.
Read the following passage about education in Nepal and mark the letter A, B, C or D on your answer sheet to indicate the best answer to each of the following questions from 31 to 40.
Fashion in the 1960s reflected the cultural and political upheaval of the time. The hippie and counterculture movement gave rise to accessories like Pocahontas-style headbands and medallions worn around the neck. Hippies wore long, loosely fitting clothing, often in natural fabrics. Hemlines rose as Mary Quant popularized the miniskirt and hot pants in her lines for JC Penney. And mod fashion, with brightly colored space-age geometric patterns, shift dresses and colored tights became the mainstream. Both miniskirts and mod-shift dresses were worn with knee-high go-go boots.
[A] During the 1970s, the loose-fitting hippie clothes of the prior decade gave way to exotic fabrics and bell-bottom jeans for men and women. Hemlines continued to rise and hot pants continued their popularity, reflecting the flashy style of the decade. However, the 1970s also saw the popularity of a longer hemline, from mid-calf to ankle-length. [B] Women wore peasant-style clothing, especially blouses with off-the-shoulder necklines and lace trim, with their jeans or skirts. [C] Disco fashion emerged, featuring bright patterns and tightly fitting clothing meant to show off the body. Platform shoes elevated their wearer, male or female, anywhere from two to four inches or more. [D]
The 1980s saw another fashion upheaval. Angst-ridden punks wore Dr. Marten and steel-toed army boots, chains, tartan patterns, and bondage pants. Punks focused more on their hair during this period, dying, teasing and chopping their hair into asymmetric styles that seemed to defy gravity. Women—and men—experimented with heavy eyeliner in a variety of colors. Women wore neon colors, jelly shoes, tight jeans, leggings, leg warmers and oversized sweatshirts. Menswear-inspired looks also became popular for both sexes. Men wore ‘power suits,’ named so for their price, which made these suits a reflection of the wealth of the wearer. Women’s jackets featured big shoulder pads that made the shoulders appear higher and larger, similar to the male silhouette.
1990’s fashion was far more subdued than the garish, wild styles of the 1980s. Bands like Nirvana influenced the grunge look, which featured rock-concert tee shirts under plaid flannel shirts, jeans and long, greasy hair. Overalls were worn by both sexes, either with one or both shoulder straps unhooked. The punk style of the 1870s and 1980s evolved into the goth fashion trend, which featured black clothing, black boots and studded bracelets in the style of bands like Nine Inch Nails and Marilyn Manson.
Which of the following does the passage mainly discuss?
Cho tập hợp A = [4; 7] và B = [2a + 3b – 1; 3a – b + 5] với a, b ∈ ℝ. Khi A = B thì giá trị của biểu thức M = a2 + b2 bằng?
Các nước có thu nhập ở mức thấp hiện nay hầu hết đều ở khu vực nào?