Find the components of the vector v with initial point P and terminal point Q. Find the unit vector u in the direction of v.

a. P: (1,1,0), Q: (6,2,0)
b. P: (1,1,1), Q: (2,2,0)

Answers

Answer 1

Answer:

Step-by-step explanation:

v=Q-P

v=(5,1,0)

u=v/(magnitude of v)=(5,1,0)/(\sqrt{5^2+1^2+0^2)

u=(5/5.09,1/5.09,0)

v=Q-P

v=(1,1,0)

u=v/(magnitude of v)=(1,1,0)/(\sqrt{1^2+1^2+0^2)

u=(1/[tex]\sqrt{2}[/tex],1/[tex]\sqrt{2}[/tex],0)


Related Questions

The graph shows how many bottles a machine caps in a certain number of seconds.

A graph showing number of bottles capped on the y axis and number of seconds on the x axis. A line begins at the origin and passes through the points 15 comma 300, 30 comma 600, and 45 comma 900.

Part A
What is the constant of proportionality, and what does it mean in this situation?
Use the drop-down menus to show and explain your answer.

The constant of proportionality is
Choose...
; the machine caps
Choose...
bottles in
Choose...
.Which of the following is an ordered pair on the graph? What does it represent in this situation?



(45, 90); the machine caps 45 bottles in 90 seconds.



(45, 900); the machine caps 45 bottles in 900 seconds.



(45, 900); the machine caps 900 bottles in 45 seconds.



(900, 45); the machine caps 900 bottles in 45 seconds.

Answers

Answer:

The machine caps 900 bottles in 45 seconds

Step-by-step explanation:

15/300 is equal to 45/900

A cylindrical tube 9.5 cm high and 0.85 cm in diameter is used to collect blood samples. How many cubic decimeters (dmଷ ) of blood can it hold (V = πrଶh)?

Answers

Answer: 0.539 cubic decimeters of blood can be hold by the cylinder.

Step-by-step explanation:

Volume of cylinder= volume of blood it can hold = [tex]\pir^2h[/tex]

Given :

Height of cylinder (h) = 9.5 cm

Diameter of cylinder (d) = 0.85 cm

Thus radius of cylinder (r) = [tex]\frac{\text {Diameter of cylinder}}{2}=\frac{0.85cm}{2}=0.425cm[/tex]

Putting the values we get:

Volume of cylinder= volume of blood it can hold = [tex]3.14\times (0.425cm)^2\times 9.5cm=5.39cm^3=0.539dm^3[/tex] [tex]      (1cm=0.1dm)

Thus 0.539 cubic decimeters of blood can be hold by the cylinder.

A company produces boxes of dvds of a rate at 52 boxes per hour. they begin to produce boxes when they first open for the day and after 3 hours they have 404 boxes in stock.
Write a linear model for the amount of boxes b, as a function of the number of hours as they opened,h, Use your model to predict the number of boxes in stock at the end of an 8 hour shift

Answers

Answer:

284 boxes

Step-by-step explanation:

Aditya tracked whether he wore a tie and whether he received a compliment on his outfit for 30 days

Answers

Answer:   8 .        5

                7 .        10

Step-by-step explanation:

The frequency table is made by using the Venn diagram. The frequency table is created below.

What is a frequency table?

A frequency table displays a sequence of scores in either increasing or decreasing order together with their occurrences as a way to compactly organize raw data.

Aditya tracked whether he wore a tie and whether he received a compliment on his outfit for 30 days.

From the Venn diagram, the frequency table is given as,

                                                        Wore a tie          Did not wear a tie

Received a compliment                       7                                5

Did not receive a compliment             8                               10

More about the frequency table link is given below.

https://brainly.com/question/12576014

#SPJ5

The complete question is given below.

Aditya tracked whether he wore a tie and whether he received a compliment on his outfit for 30 days. The Venn diagram below shows the data he collected.

A total of 937 people attended the play. Admission was $2.00 for adults and $0.75 for students. The total ticket sales amounted to $1,109. How many students and adults attended the school play? First complete the equations below, where A stands for Adults and S stands for Students. 2A + 0.755 = 1,109; A + S = 937 Now use the equations to find the number of students and adults. Students = [?]; Adults = [ ] ​

Answers

Answer:

612 students and 325 adults.

Step-by-step explanation:

To determine the number of adults and students who attended the event, knowing that in total there were 937 people who spent a total of $ 1,109 and that each student ticket is worth $ 0.75 while each adult ticket is worth $ 2, the following logical reasoning must be performed:

2 - 0.75 = 1.25

Therefore, the minimum that each ticket will be worth is $ 0.75, while there will be a surplus of money that will be divisible by 1.25, which is the amount of more that each adult paid on their ticket.

Therefore, since 0.75 x 937 equals 702.75, the total price surplus is 406.25 (1,109 - 702.75). Now, this number divided by 1.25 gives a total of 325, with which 325 adults attended the event. In turn, given that the total number of attendees was 937, the total number of students who attended the event is 612 (937 - 325).

y is directly proportional to x and k is a constant. Which equation
shows this?
y = x +k
y = kx
y = k/x
y = x-k

Answers

It would be Y=kx.
Look at photo for explanation

Answer:

y = kx

Step-by-step explantion:

We did this in math class and I know it is right! I hope this helps you! :)

53.58 is 47 percent of what?

Answers

Answer:114

Sorry

Step-by-step explanation:

You train for a race by running 6 miles on race day you run 3.2 miles in 30 minutes what is your speed in miles per hour

Answers

Answer:

0.533

Step-by-step explanation:

Answer

0.533

Plz mark me as a Brainliest.

I am in need

what is 1,000+20,222

Answers

the answer is 21,222
21,222 is the answer
Hope that helps and have a good day <3

Please Help me i dont know this.

Answers

Answer:

Step-by-step explanation:

First, expand out the brackets

2 x 1.6a = 3.2a

2 x 0.7 = 1.4

Therefore 3.2a - 1.4 = 8.2

Now solve to find a

3.2a - 1.4 = 8.2

3.2a = 9.6

a = 3

hope this helps :)

solve this question please what is 2 +2

Answers

Answer:

4

Step-by-step explanation:

Answer:

Hi there! Your answer to your question is 4!

Step-by-step explanation:

Think of it like this; you have 2 cookies and so does your friend. How many do you have together. 2+2=4

How does Einstein expect us to do math?

Answers

Answer:

aaa

Step-by-step explanation:

Find an equation of the line with the given y-intercept and slope m.
3.2, m = -2.4
The equation of the line is
(Type your answer in slope-intercept form.)

Answers

Answer:

y = -2.4x + 32

or y = -12/5x + 16/5

or 12x + 5y = 16

Step-by-step explanation:

slope intercept form is y = mx + b

replace the m with the slope and b with y intercept

y = -2.4x + 3.2

with fractions instead of decimals its

y = -12/5x + 16/5

you could also write it like this I think

12x + 5y = 16

whatever way you were taught, do it

(sorry I don't have one straight answer: I did that once and a kid got a bad grade because that wasn't how he/she learned it)

12q ≤41 plz help me or ill fail

Answers

Answer:

q ≤ 3.41

Step-by-step explanation:

Divide for the answer.

q ≤ 3.41

Please help with A through D

Answers

Answer:

A. 6.466

B. 6

C. 5

D. 30 nominations

Step-by-step explanation:

A. The mean is all of the numbers added together, and divided by how many numbers there are, so take all of the numbers, which end up being added up to 97, and then divide by 15, because that´s how many numbers there are, you end up getting 6.46666 and you round it to 6.466

B. The median is when you take all of the numbers and put them into order, and then find the number in the exact middle of all of the numbers, so the numbers were 4 5 5 5 5 5 5 6 6 7 7 8 8 9 12, the middle number was 6

C. The mode is the number that appears the most, and that would be 5

D. The most reccuring number is 5, and if you take that and multiply it by how many times it is shown, 6, you get 30

I hope this helps!

The model shows 2/3
Which one of the following correctly models and gives the quotient of 2/3 divided by 1/6?

Please help nagito out

Answers

Abc

Step-by-step explanation:

Find the parametric equations for the line that is tangent to the given curve at the given parameter (3cost)i (t^4 -3sint)j

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

In the given equation, when the point t=0

So,

[tex]\to r(0) = (3 \cos 0)i + (0^4 - 6 \sin 0)j + (2e^{3\times 0})k)[/tex]

           [tex]= (3 \times 1)i + (0 - 0)j + (2e^{0})k)\\\\ = 3i + 0j + (2 \times 1)k)\\\\ = 3i + 0j + 2k \\[/tex]

The value of the coordinates are [tex]3, 0, 2[/tex] . so, the equation of the line is:

[tex]\to \frac{(x-3)}{3 \cos \ t} = \frac{(y-0)}{(t^{4}-6 \sin \ t)} = \frac{(z-2)}{2e^{3t}}=k[/tex]

Help Please Mathhh!!!!!!!!!!!!!!!

Answers

Answer: the Nswer for this is 30 people

Step-by-step explanation:

Answer:

10n=40    n=4

Step-by-step explanation:

10n=40  divide each side by 10

n=40/10   simplify

n=4

The pencil factory can sort 165 pencils into boxes in 1
minute. If there are 1,440 minutes in a 24-hour day.
how many pencils can they sort in a day?

Plz help

Answers

Answer:

237600

Step-by-step explanation:

do 165 x 1440

Which point will correspond to the topmost point of the reflected figure?

Answers

Answer:

I need help please.

Step-by-step explanation:

Can you please answer my question IFoundJiminsJams, its... Part C

Can image 3 be the reflected figure? Explain your answer. Its 8th grade Properties of Transformations: Tutorial. Please help me, I'm going to be asking a lot of questions today because this is my last day to complete all of my homework for week 1.

can someone help me with this? its solving systems by substitution

Answers

Answer: x = 1 and y = 2

Given:
y = -3x + 5
5x - 4y = -3

Since we are given y, let’s sub it in the second equation.

5x - 4(-3x + 5) = -3
5x + 12x - 20 = -3
17x = 17
x = 1

After finding x, we can now find y.

5(1) - 4y = -3
-4y = -8
y = 2

Checking:

y = -3x + 5
2 = -3(1) + 5
2 = 2


5x - 4y = -3
5(1) - 4(2) = -3
-3 = -3

Plz help
Simplify 6(3x-5)+5(2x-1)

Answers

28x - 35 is the simplified from

how many miles would it be ??

Answers

He drove 217 miles because 124/4 is 31 and 31x7 is 217!

Make a graph to show the relationship between temperature units, using Celsius as the x-axis. Which are true statements? Check all that apply. The graph includes points in three quadrants. The graph is a line. The graph includes points on only one quadrant, because negative values do not make sense. As one value increases, the other increases. As one value increases, the other decreases.

Answers

Answer:

2 and 3

Step-by-step explanation:

Answer:

It's

A

B

D

Step-by-step explanation:

got it right

The relationship between altitude and the boiling point of a liquid is linear. At sea level, the liquid boils at 220°F. As the
altitude increases, the boiling temperature of the liquid decreases, such that at an altitude of 4,500 ft, the liquid boils at
211.45°F.

a. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet.

b. What is the boiling point of the liquid at 22,000 ft?

Answers

Answer:

?????????????????????

Step-by-step explanation:

I need points sorry

In sample of 200 economists, 147 choose the FRED database as the most popular economic database. Calculate the margin of error for a 97% confidence interval.

Answers

Answer: 0.9577

Step-by-step explanation:

Formula for margin of error (E):

[tex]E= z^*\sqrt{\dfrac{p(1-p)}{n}}[/tex] , where p = sample proportion, n =sample space, z* critical z-value.

Given: n= 200

[tex]p=\dfrac{147}{200}[/tex]

Critical value for 97% confidence level = 2.17

Margin of error (E) = [tex]2.17\sqrt{\dfrac{147}{200}(1-\dfrac{147}{200})}[/tex]

[tex]=2.17\sqrt{\dfrac{147}{200}(\dfrac{53}{200})}\\\\=2.17\times \sqrt{0.194775}\\\\=2.17\times0.441333207452\approx0.9577[/tex]

Hence, the margin of error for a 97% confidence interval = 0.9577

Write an expression that is equivalent to 1/2a -4

Answers

5 maybeee????hdhdhdhdjss

Answer:7

Step-by-step explanation:

7

Which of the following is the best example of a long-term goal?

Earning a two-year college degree
Saving enough to fully pay for your children's college educations
Saving 15% of all your earnings*
Earning a total of $200 more per month

Answers

Answer:

Earning a two-year college degree

Saving enough to fully pay for your children's college educations

Step-by-step explanation:

a. ordered pairs: {(4, -2), (0, 0), (2,4)}
b. ordered pairs: {(-2, 4), (0, 0), (4, 2)}
c. ordered pairs: {(-2, 4), (0, 0), (2,4)}
d. ordered pairs: [(4, -2), (0, 0), (4, 2)}

Answers

The answer would be C because (x,y) x is the domain and y is the range

Hope this helps

Have a great day/night

Which decimal is equivalent to 19/50

Answers

The answer is 0.38 hope this helps
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