1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
worty [1.4K]
3 years ago
8

Three vectors A, B, C in three-dimensional space satisfy the following properties

Mathematics
1 answer:
wlad13 [49]3 years ago
3 0

Answer:

\frac{7}{8}\pi

Step-by-step explanation:

observe

||a–b+c|| = ||a+b+c||

(a-b+c)² = (a+b+c)²

(a+b+c)² – (a-b+c)² = 0

((a+b+c)+(a-b+c))((a+b+c)–(a-b+c)) = 0

(2a+2c)(2b) = 0

(a+c)b = 0

a•b + c•b = 0

||a||×||b||×cos(π/8) + ||c||×||b||×cos(θ) = 0

\cos(\theta)=-\frac{||a||\times ||b|| \times \cos(\frac{\pi}{8})}{||c||\times ||b||}=-\cos(\frac{\pi}{8})\\ \theta=\frac{7}{8}\pi

You might be interested in
Simplify the expression 3.4(-2) + 10
motikmotik
3.2 ; to get this answer you do 3.4(-2) = -6.8 then you add ten -6.8 + 10 = 3.2
4 0
3 years ago
Mr Taylor brought back 230 Great British Pounds to Australia. The exchange rate was $1.69 to £1. How much did he get in $ AUD?
blagie [28]
230*1.69=388.7
Mr Taylor get $388.7 AUD
8 0
3 years ago
Read 2 more answers
Helppp a child out please
Nutka1998 [239]

Answer:

The answer is 35

Step-by-step explanation:

given

an = 3n + 5

a10 = 3 * 10 + 5

= 30 + 5

= 35

Hope it will help :)

8 0
2 years ago
Read 2 more answers
When 2 fractions refer to the same whole and have the same denominator explain why you can compare only the numerators
Mrrafil [7]
One way ti find the common denominatir is to check ti see if ine denominator is a factor to the other deniminator if it is then the deniminator can be used as the common denominator when the two deniminators are the same compare the numerators
4 0
3 years ago
Quadrilateral ABCD is a a square and the length of BE is 6 cm.<br><br>What is the length of AC?
Aloiza [94]

The answer is: 12 centimeters.

The explanation is shown below:

1. By definition, all four sides of the square are equal and the diagonals are equal too.

2. Keeping the information above on mind, you know that AC and BD are equal:

AC=BD

3. Then, the length of BD is twice BE. So, you can calculate it as following:

BD=2BE

BD=2(6cm)\\BD=12cm

4. Therefore, the lenght of AC is:

AC=12cm

5 0
3 years ago
Other questions:
  • Use what you have learned about filing income taxes to complete these sentences.
    12·2 answers
  • Workers are going to load 12 crates of cantaloupes onto a freight elevator. Each crate of cantaloupes contains 10 boxes of canta
    9·2 answers
  • 12x + 4y = 152 32x + 12y = 420 what is y?
    6·1 answer
  • What is 3(4x+1)-9x=12-6x
    6·2 answers
  • PLZ PLZ HELP!!!!! WILL MARK BRAINLIEST!
    15·1 answer
  • Can someone help me by looking at the picture above??
    15·2 answers
  • A rectangular painting is to have a total area (including the frame) of 1200 cm2. If the painting is 30 cm long and 20 cm wide,
    9·1 answer
  • Pleasee can you do this <br>pleasee​
    15·1 answer
  • Draw a model that shows 2 items being divided equally for 3 people.
    5·1 answer
  • I"LL MAKE YOU BRAINLIEST IF YOU ANSWER IN 2 MINUTES
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!