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
kodGreya [7K]
2 years ago
11

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! THIS IS NOT A TEST OR AN ASSESSMENT!! Please help me with these math questions

. Chapter 14 part 2
3. What are two ways that a vector can be represented?

4. While playing basketball, Sofia takes notes of the extreme vectors for which she bats. What is the angle between her two extreme bats? Extreme: <-8, 12>
Extreme 2: <13, 15> SHOW YOUR WORK!!!!
Mathematics
1 answer:
Art [367]2 years ago
3 0

Answer:

See below

Step-by-step explanation:

3. What are two ways that a vector can be represented?

Considering a vector \vec{v} in some vector space \mathbb R^n we have

\vec{v} = \langle a,b\rangle

This is the component form. I don't like that way. It is probably used in high school, but

\vec{v} =  \begin{pmatrix} a\\ b\\ \end{pmatrix}

is preferable because the inner product on \mathbb R^n is defined to be

$\langle a,b\rangle := \sum_{i = 1}^n a_i b_i$

You can also write it using linear form such as \vec{v} = 2i+2j

4.

For this question, I think you meant

vectors

\vec{u_1} = (-8, 12)

\vec{u_2}  = (13, 15)

Once

\cos(\theta)=\dfrac{\vec{u_1} \cdot\vec{u_2}}{||\vec{u_1}||||\vec{u_2}||}

Considering that the dot product is

\vec{u_1}\cdot \vec{u_2} = (-8)\cdot 13 + 12\cdot 15 = -104+180= 76

and the norm of \vec{u_1} is ||\vec{u_1}|| = \sqrt{(-8)^2 + 12^2} = \sqrt{64 + 144}= \sqrt{208}

and the norm of \vec{u_2} is ||\vec{u_2}|| = \sqrt{13^2 + 15^2} = \sqrt{169 + 225}= \sqrt{394}

Thus,

\cos(\theta)=\dfrac{76}{\sqrt{208} \sqrt{394}} = \dfrac{19}{\sqrt{13}\sqrt{394}}=\dfrac{19}{\sqrt{5122}}

\therefore \theta = \arccos \left(\dfrac{19}{\sqrt{5122}} \right)

You might be interested in
Which outcomes are in A or B ?
Mandarinka [93]

B...........................

7 0
3 years ago
Read 2 more answers
How to solve this inequality: 3p - 6 &gt; 21.
bearhunter [10]
First of all you do +6 to both sides which will get you now 3p > 27 then you do divide by 3 to get the p by itself, which will give you answer of p > 9, LETTER C
5 0
3 years ago
What is the slope of the line that passes through the points (5, 2) and (3,-1)?
oksano4ka [1.4K]
Slope = -4/5

to calculate the slope m use the gradient form

m = y2 -y1
————
x2 - x1


let (x1, y1) = (3,1) and (x2, y2) = (-2, 5)


m = 5 - 1 4
———- = ——-
-2 - 3 -5


= - 4/5
3 0
2 years ago
Express 0.361 recurring as a fraction.<br> (only the 61 recurs)
Oduvanchick [21]

9514 1404 393

Answer:

  179/495

Step-by-step explanation:

When the repeating decimal starts at the decimal point, the repeating digits can be turned into a fraction by putting them over the same number of 9s. That is, 0.61616161... is equivalent to 61/99.

Here, the repeating part is 1/10 that value, so is 61/990. This is added to the non-repeating part, which is 0.3 = 3/10.

Then the entire decimal is ...

  0.361_61 = 3/10 + 61/990 = (297 +61)/990 = 358/990 = 179/495

7 0
2 years ago
How do you write 23.80 as a fraction
Scorpion4ik [409]
The correct answer is \frac{238}{10}
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the volume of the prism below with height of 5 base of 10
    6·1 answer
  • Please need help to answer the question in 5 minutes?
    5·1 answer
  • Faith lost 2 1/2 pounds in 10 days. If
    8·2 answers
  • Please help. +10 Cant figure this one out.
    12·1 answer
  • The price of a pair of shoes is $52. The price is 15% lower than last week.
    14·2 answers
  • 100000 times 846,000 =
    10·2 answers
  • Identify the maximum of the graph below. Type your answer by filling in the blanks below
    15·1 answer
  • The box-and-whisker plots below show the numbers of motor vehicles produced in four different regions for selected years since 1
    12·2 answers
  • Help please !!!!!!!! Asap
    12·1 answer
  • HELP MEEEE!!!! This is super confusing....<br> Sorry, for the trouble, it confuses me
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!