let l be the line in r3 that consists of all scalar multiples of the vector w=[22−1] . find the reflection of the vector v=[293] in the line l .

Answers

Answer 1

The reflection of vector v=[293] in the line l that consists of all scalar multiples of the vector w=[22−1] is [-17, 192, 73].

The reflection of vector v=[293] in the line l that consists of all scalar multiples of the vector w=[22−1] is [-17, 192, 73].

To find the reflection of vector v in the line l, we need to decompose vector v into two components: one component parallel to the line l and the other component perpendicular to the line l. The component parallel to the line l is obtained by projecting v onto w, which gives us:

proj_w(v) = ((v dot w)/||w||^2) * w = (68/5) * [22,-1] = [149.6, -6.8]

The component perpendicular to the line l is obtained by subtracting the parallel component from v, which gives us:

perp_w(v) = v - proj_w(v) = [293,0,0] - [149.6, -6.8, 0] = [143.4, 6.8, 0]

The reflection of v in the line l is obtained by reversing the direction of the perpendicular component and adding it to the parallel component, which gives us:

refl_l(v) = proj_w(v) - perp_w(v) = [149.6, -6.8, 0] - [-143.4, -6.8, 0] = [-17, 192, 73]

Therefore, the reflection of vector v=[293] in the line l that consists of all scalar multiples of the vector w=[22−1] is [-17, 192, 73].

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Related Questions

Which of the following is a solution for

f + 8 < 10

Answers

Answer: there are no answer choices but f > 2

Step-by-step explanation:

Find the value of x. Then find the measure of the red arc.

Answers

Answer:

x = 70 degrees, red arc= 110 degrees

Step-by-step explanation:

x and 2x-30 added together is 180 degrees.

We can make an equation to find x,

x + (2x - 30) = 180

3x - 30 = 180

Add 30 to both sides to isolate x

3x = 210

By dividing both sides by 3, we get x = 70

Now we know the red arc is 2x - 30. We can plug x in because we know the value now.

2(70) - 30

140 - 30

Red Arc = 110 degrees

The value of x = 70 degrees, and the measure red arc of 110 degrees,

In the case when (2x - 30) degrees  and x degrees are given.

Calculation of the value of x and red arc:

Since

x + (2x - 30) = 180

3x - 30 = 180

3x = 210

x = 70

Now

= 2(70) - 30

= 140 - 30

= 110 degrees

hence, The value of x = 70 degrees, and the measure red arc of 110 degrees

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0.25 (771-20q) simplified expression

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Answer:

191.5

Step-by-step explanation:

Answer:

191.5

Step-by-step explanation:

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Answer:

the answer is an acute triangle

Step-by-step explanation:

it is an acute triangle because all angles are less than 90° but all the angles added together are equal to 180°

Answer:

It is a scalene triangle.

How many solutions to 10x - 6 = 10 x + 6

Answers

Answer:

no solution

Step-by-step explanation:

GIVING BRAINLIEST IF CORRECT! Megan drew a scale drawing of a house and its lot. She used the scale 1 centimeter : 7 meters. The actual length of the back patio is 28 meters. How long is the patio in the drawing?

Answers

Answer:

What I believe it may be is 4 centimeters.

Step-by-step explanation:

One centimeter = 7 meters.

7 x 4 equals 28.

Comment:

I hope this helped you.

If this is the wrong answer, I am sorry.

   

Please help quick will give brainliest!

Answers

Answer: Choice A) There must be a vertical asymptote at x = c

Explanation:

The first limit [tex]\displaystyle \lim_{x\to c^{-}}h(x) = -\infty[/tex] says that as x approaches c from the left side, the f(x) or y values approach negative infinity. So the graph goes down forever as x approaches this c value from the left side.

The limit [tex]\displaystyle \lim_{x\to c^{+}}h(x) = \infty[/tex] means that as x approaches c from the right side, the y values head off to positive infinity.

Either of these facts are enough to conclude that we have a vertical asymptote at x = c. We can think of it like an electric fence in which we can get closer to, but not actually touch it.

Use the algebra tiles to help you solve the equation 4x -5=3

Answers

Answer:

x=2

Step-by-step explanation:

ASAP PLEASE I WILL MAKE BRAINIEST

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Answers

Answer:

12 units

Step-by-step explanation:

Given points:

U(-4, 3) and V(-4, -9)

The line segment between the given points is vertical as their x-coordinates are same.

The distance between the points is the difference between their y-coordinates:

3 - (-9) = 12 units

Write as an expression: Jones Elementary School sang 3 more than 4 times as many songs as Redwc
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Answers

it should be 4x+3. since u don’t have the amount of songs that redwc sang, it would be a variable such as x, and the 3 more means to add. hope this helped!

BRAINLIEST FOR 1ST AND SECOND WHO ANSWERS.... EMERGENCY


Marcie pays someone to clean the salon. She pays them $15.00 per hour. She offers them a 3% raise on their hourly pay. How much will she now pay them per hour?

Answers

Answer:

I think it will be $16.50

Step-by-step explanation:

sorry if I'm wrong

Esther is participating in a walk-a-thon. She will raise 5 dollars for her charity for each lap she walks.
Let l = the number of laps she walks
Let d = the number of dollars she raises
help PLEASEEEEEEE

Answers

Answer:

The equation is d=5l

As the number of LAPS increases, the number of DOLLARS also increases

Step-by-step explanation:

Edge 2021 on assignment

Answer:

d=5l

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Step-by-step explanation:

i did it and its correct

you ride through some wet paint on your bike creating a red spot on the tire. write a cosine equation to model the height of the red spot over the distance you ride.
Your bike tire has a radius (r) of 11 inches.
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start the cycle when the spot is at the top of the tire

Answers

Answer: y = 11 cos (1/11x) +11

Step-by-step explanation:

Writing a cosine equation to model the height of the red spot over the distance you ride will be:

D. [tex]y=11 cos (1/11x) + 11[/tex]

Some cosine formulas are:

[tex]cos A= (b2+c2-a2)/(2bc)[/tex]

What is a cosine equation?

A cosine equation or formula is is one of the three most common trigonometric function. It is the trigonometric function that equals the ratio of the side adjacent to an acute triangle to the hypotenuse.

Therefore the correct answer is option D.

Read more about cosine equation here:

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How much will
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the customer be charged before tax and tip?

hsdhjdjs

Answers

Answer:

2.5t 7.3=18.25

Step-by-step explanation:

250/100,please mark as brilliant

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Answers

Answer:

2

Step-by-step explanation:

the answer is 2

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Answers

Answer:

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What time does the clock show?
12
1
11
10
3 -
8
4.
1
7 6
5

Answers

Answer:

6:59

Step-by-step explanation:

Hour : Minute

Small hand is hour hand, large hand is minute hand. Minutes go by the small tic marks, where the hours go off of the numbers.

7:59 I could be wrong so I’m sorry! Have a great day.

there are 4 pizzas and 3 people. how much would each eraser get if each person eats the same amount.​

Answers

Answer:

Each person should share 1 and 1/2

is 1/2 ÷ 2 is greater than 1 or less than 1.

Answers

Answer:

0.25

Step-by-step explanation:

1/2÷ 2 is less than 1

Answer:

Greater

Step-by-step explanation:

It is greater beacause 1/2 ÷ 2 is 0.25. However, 1 (1.00) is greater than 0.25 because 0.25 is basically 25/100 and 1 is 1 (whole

-5/7b = -4
What does B equal?

Answers

Answer:

28/5 or 5,6

Step-by-step explanation:

In the year 2007, a company made $4 million in profit. For each consecutive year after that, their profit increased by 14%. How much would the company's profit be in the year 2011, to the nearest tenth of a million dollars

Answers

Answer:

$6.76 million

Step-by-step explanation:

The computation of the profit of the year in 2011 is shown below:

Given that

In year 2007, it made $4 million profits

And it would be increased by 14% till 2011

So,

= $4 million × (1 + 0.14)^4

= $4 million × 1.68896016

= $6.76 million

Inverse of f(n)=-2n^3-3

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Pizza is great, yes very good

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Answers

Step-by-step explanation:

alternate angle is vertical to it

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Answer:

1.090909......

Step-by-step explanation:

Each number is divided by -3.333333..... to get the next number in the sequence, -3.6/-3.3333....=1.0909.....

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Find the slope of the line between the following points:
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Record your answer in simplest form.

Answers

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (27, 11) and (x₂, y₂ ) = (11, 3)

m = [tex]\frac{3-11}{11-27}[/tex] = [tex]\frac{-8}{-16}[/tex] = [tex]\frac{1}{2}[/tex]

the slope equals 1/2.

cp=Rs6250 loss%=4% find sp​

Answers

Formula:
Selling price = Cost price x (1 - 4%)


Selling price:
= 6250 x (1 - 4%)

= 6250 x 96%

= 6250 x 96/100

= 6250 x 24/25

= Rs 6000

Hope it helps!

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Answers

Answer:

Use ratios of corresponding sides:

EH/FH = FH/GHFH² = EH*GH  

4.

FH² = 6*3 ⇒ FH = √18 = 3√2

5.

GH = FH²/EH = 6²/12 = 3

6.

FH = √(19-15)*15 = √60 = 2√15

PLEASE HEEEEELP IS URGENTT​

Answers

Answer:

75.

Step-by-step explanation:

17−14−8(8−17)

=75

The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.


f(x) = 5 + x; $111.05

f(x) = 1.05x; $115.50

f(x) = x – 5; $108.95

f(x) = 0.05x; $5.50

Answers

Answer:

The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.

A. f(x) = 5 + x; $111.05

B. f(x) = 0.05x; $5.50

C. f(x) = x � 5; $108.95

D. f(x) =1.05x; $115.50  

total cost = (price) + (5% of price)

f(x) = x + 0.05x

f(x) = 1.05x

So the function is f(x) = 1.05x

Plug in x = 110 to get

f(x) = 1.05x

f(110) = 1.05*110

f(110) = 115.50

The item costs $115.50 (after tax is added on)

Step-by-step explanation:

1:    the total cost of a CD player would be 104.76

2:    Total Cost = (price) + (5% of price)

f(x) = x + 0.05x

f(x) = 1.05x

So the function is f(x) = 1.05x

Plug in x = 110 into the function

f(110) = 1.05*110

f(110) = 115.50

The item costs $115.50

3:    Answer:

f(x) = .05x; $5.50

Step-by-step explanation:

f(x) = .05x

f(110) = .05(110) = $5.50

Giving brain list
tell whether the ratio is a proportion
Need work shown
Need 4,5,6,7,8
If u answer with a d*um* answer I will report u

Answers

Answer:

i believe it proportional

Step-by-step explanation:

pls no report me i did this stuff in 6th grade so i forgot :)

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