Find a unit vector u u in R 2 R2 such that u u is perpendicular to v . v. How many such vectors are there

Answers

Answer 1

Answer: hello some part of your question is missing

Let v=〈−2,5〉 in R^2,and let y=〈0,3,−2〉 in R^3.

Find a unit vector u in R^2 such that u is perpendicular to v. How many such vectors are there?

answer:

One(1) unit vector ( < 5/√29,  2 /√29 >  ) perpendicular to 〈−2,5〉

Step-by-step explanation:

let  

u = < x , y > ∈/R^2  be perpendicular to  v = < -2, 5 > ------ ( 1 )

hence :

-2x + 5y = 0

-2x = -5y

x = 5/2 y

back to equation 1

u = < 5/2y, y >

∴ || u || = y/2 √29

u   = < 5 /2 y * 2 / y√29 ,  y*2 / y√29 >

    = < 5/√29,  2 /√29 >  ( unit vector perpendicular to < -2, 5 > )


Related Questions

The question is in the image

Answers

Answer:

$9

Step-by-step explanation:

f(x) = - 25 ( x - 9 )² + 200

when x = 5 ,

f(5) = - 25 ( 5 - 9 )² + 200 = - 200

when x = 9 ,

f(9) = - 25 ( 9 - 9 )² + 200 = 200

when x = 10 ,

f(10) = - 25 ( 10 - 9 )² + 200 = 175

when x = 15 ,

f(15) = - 25 ( 15 - 9 )² + 200 = -700

∴ when price = $9

the company receive the maximum profit

Answer:

9$

Step-by-step explanation:

Please help. I’m lost with this.

Answers

Answer:

35 miles

Step-by-step explanation:

You add up all of the miles on the chart to get 35 miles. Have a great day! I hope this helped.

Find mCFB

Help me please

Answers

Answer:

A

Step-by-step explanation:

<CPA = 50o                     Given

<FPB = 50o                      Vertically opposite a 50 degree angle

<CPF = 90o                      Given

<CPB = <FPB + <CPF       Given or found

<CPB = 50 + 90                Substitute

<CPB = 140o

1. What does each expression equation represent in this situation? Q(18) b. Q(30) = 27.5​

Answers

Answer:

Step-by-step explanation:

Q(18) is a direction. It means that wherever you see a variable like x on the right, you put an 18 in for it. For example Suppose the right looked like

Q(x) = x^2 + 10 Then Q(18) would mean

Q(18) = 18^2 + 10

Q(18) = 324 + 10

Now we come to the second equation (b)

What that means is that after you do all the calculations, your answer is

27.5

So for the first question(a) Q(18) = 334

A is the direction of what to do. It is the question.

B is the answer

The graph below shows the solutions to which inequality?

Answers

your answer would be D. x^2+4x-4<0

SOMEBODY PLEASE ILL GIVE BRAINLIEST AND FREE ROUBUX

Answers

Answer:

The y-coordinate is 4. The point is (2,4)

Step-by-step explanation:

The point is 4 units above the x axis.

Answer:

y-coordinate=4

Step-by-step explanation:

The equation d = m/v can be used to calculate the density,d, of an object with mass,m, and volume,V. Which is an equivalent equation solver for V?

Answers

Answer:

v = m/d

Step-by-step explanation:

since

[tex]d = \frac{m}{v} \: \\ \\ v = \frac{m}{d} [/tex]

help with explanation please

Answers

Answer:

MBC=FTTHSGUSJHHUYYVSVHEJSJEVEJDJDHB=**?!1235849

Step-by-step explanation:

M is dead so B is going to collect money. thanks for the update and for some of my friends and for some reason and t and I will get you the information you requested and for your and your and I have a lot going to get you a copy of my CV and I have to be there by and pick it up tomorrow if the update I was just going to text you but the information I need to text me if the is no longer a part y to be y to be y to text or to be there by and pick up tomorrow at noon so we will be able or to be y be able or willing and for the first week of my e to text you and I hope to hear back from the guy I was telling you but you are not a good time to text or to be there by to pick up tomorrow if the update and the update I was just wondering if everything goes well and that the information you have a good ii

Please help!
Question:
Divide £40 in the ratio 3 : 7

Answers

Step-by-step explanation:

here's your answer hope it helps you

Use the zero product property to find the solutions to the equation x2 + 12 = 7x.
x = –4 or x = 3
x = –4 or x = –3
x = –3 or x = 4
x = 3 or x = 4

Answers

Answer:

x= 4, 3

The choose (d)

Step-by-step explanation:

x²+12=7x

x²-7x+12=0

(x-3)(x-4)=0

x=3

or x=4

Answer:

D

Step-by-step explanation:

on edge

please hurry :(
Given m||n, find the value of x.
m

1189
+-

Answers

Answer:

62°

Step-by-step explanation:

Solve for x. Round to the nearest tenth, if necessary.

Answers

Cos(o)= ads
CoS61X
5.5=* (Cos (60)
11.344
-
X= 5.5

COSC61)
The answer is in the picture

A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be needed??​ Solve fast​

Answers

Answer:

1500

Step-by-step explanation:

The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,

[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]

And , the number of tiles required will be ,

[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]

Hence the required answer is 1500 .

Mei's average score on the first six holes in a miniature golf game was 6. her average score on the next 12 holes was 3. what was her average score on all 18 holes?

Answers

Answer:

72

Step-by-step explanation:

6*6 = 36

3*12 = 36

36 + 36 = 72

Can someone help with this

Answers

Answer:

Step-by-step explanation:

[tex]Mean = \frac{Sum \ of \ all \ the \ data}{number \ of \ data}\\\\= \frac{3.8+5.1+4.1+3.8+3.3+3.6}{6}\\\\=\frac{23.7}{6}\\\\= 3.95[/tex]

Mean = 3.95

B) To find the median, arrange the data in ascending order

3.3 ;  3.6 , 3.8  ; 3.8  ; 4.1  ; 5.1

As number of data is even, median = Average of (n/2)th term and (n/2)th term +1

= Average of 3 and 4th term

[tex]= \frac{3.8+3.8}{2}\\\\= 3.8\\[/tex]

Median  = 3.8

C) 3.8 occurs two times.

So, Mode = 3.8

d) 14.6 is above the mean. So, if we add a data above the mean, then the mean will increase

e) If April (3.8)  is deleted from chart, Mean will increase. If we remove a data below the mean, then mean will increase

If April is deleted from chart,  there will be no change in median.

Still median will be 3.8 only

Can someone help me with this math homework please!

Answers

Answer: Five and a quarter

Step-by-step explanation:

Answer:

[tex]7h - 5(3h - 8) - 28 = 100 \\ 7h - 15h + 40 - 28 = 100 \\ 7h - 15h + 12 = 100 \\ - 8h + 12 = 100 \\ - 8h = 100 - 12 \\ - 8h = 88 \\ \frac{ - 8h}{ - 8} = \frac{88}{ - 8} \\ h = - 11[/tex]

How many odd numbers greater than 60000 can be formed, using numbers 2,3,4,5 and 6 if each digit is used only once in each number?​

Answers

Hello,

All the numbers must begin with  6.

There are still 2,3,4,5 digits :  4 possibilities.

4!=4*3*2*1=24

The first is 62345 and the last 65432.

Please help!!
What is the formula that is used for DISCOUNT SALES?

Answers

Answer:

discounted price = original price ( 1 - discount rate)

Step-by-step explanation:

Write the equation of the line in Slope-Intercept Form given the information below.


Slope =−7/4


Y-Intercept =5

Answers

Answer:

y = -7/4 x + 5

Step-by-step explanation:

if you are good at graphs this is good but please help it would mean a lot, I will give brain thingy

Answers

Answer:

(5, -6)

Step-by-step explanation:

The solution is where the lines cross.

Answer:

(5,-6)

Step-by-step explanation:

The solution to the system is where the two graphs intersect.

The graphs intersect at (5,-6)

Hermes says that the opposite of 9 is 9 since
each number is 9 units from zero on the number line. Is Hermes correct?
Explain why or why not

Answers

Answer: Hermès is incorrect. The opposite of 9 is -9.


Explanation: In this question, Hermès gives an incorrect answer, claiming that the opposite of 9 is also 9. To find the correct answer, let’s first look at his reasoning. He was right in one thing- to find the opposite of a number, we need to find one that shares the same distance from zero. However, he was wrong in believing that the number had to be exactly the same. To find the opposite number, find the same distance from zero in the opposite direction. In this case, the distance from zero is 9. Go in the opposite direction from zero, 9 times. This would give you an answer of -9. Because of this, the opposite of 9 is -9.


Hope this helps! Comment below for more questions.

Hermes is incorrect. The opposite of 9 is -9 if Hermes says that the opposite of 9 is 9 since each number is 9 units from zero on the number line.

What is a number line?

It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.

To find the same distance away from zero in the opposite direction to determine the opposite number.

The distance from zero in this situation is 9. nine times in the opposite direction from zero.

Thus, Hermes is incorrect. The opposite of 9 is -9 if Hermes says that the opposite of 9 is 9 since each number is 9 units from zero on the number line.

Learn more about the number line here:

brainly.com/question/13189025

#SPJ2

f(x)=2x+3/4x+5
find f(-9)

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { f(-9)= 0.48}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]f(x) = \frac{2x + 3}{4x + 5} \\[/tex]

For [tex]f(-9)[/tex], put "[tex]-9[/tex]" for every value of "[tex]x[/tex]".

[tex]↬f( - 9) = \frac{2( - 9) + 3}{4( - 9) + 5}\\ [/tex]

[tex]↬ f(-9) = \frac{ - 18 + 3}{ - 36 + 5} \\[/tex]

[tex]↬ f(-9) = \frac{ - 15}{ - 31}\\ [/tex]

[tex]↬ f(-9)= \frac{15}{31}\\ [/tex]

[tex] ↬f(-9)= 0.48\\ [/tex]

[tex]\bold{ \green{ \star{ \red{Mystique35}}}}⋆[/tex]

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{f(x) = \dfrac{2x + 3}{4x + 5}}[/tex]

[tex]\mathsf{y = \dfrac{ 2x + 3}{4x + 5}}[/tex]

[tex]\mathsf{y = \dfrac{2(-9) + 3}{4(-9) + 5}}[/tex]

[tex]\mathsf{2(-9)}[/tex]

[tex]\mathsf{\bf = -18}[/tex]

[tex]\mathsf{y = \dfrac{-18 + 3} {4(-9) + 5}}[/tex]

[tex]\mathsf{-18 + 3}\\\mathsf{= \bf -15}[/tex]

[tex]\mathsf{y = \dfrac{ -15} {4(-9) + 5}}[/tex]

[tex]\mathsf{4(-9)}\\\mathsf{\bf = -36}[/tex]

[tex]\mathsf{y = \dfrac{-15}{-36 + 5}}[/tex]

[tex]\mathsf{-36 + 5}\\\mathsf{= \bf-31}[/tex]

[tex]\mathsf{y = \dfrac{-15}{ -31}\rightarrow\boxed{\bf \dfrac{15}{31}}}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: } \boxed{\bf f(-9) = \dfrac{15}{31}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A²,b²,c² are consecutive perfect squares.How many natura numbers are lying between a² and c², if a>0

Answers

Answer:

The quantity of natural numbers between [tex]a^{2}[/tex] and [tex]c^{2}[/tex] is [tex]2\cdot (a + b) + 1[/tex].

Step-by-step explanation:

If [tex]a^{2}[/tex], [tex]b^{2}[/tex] and [tex]c^{2}[/tex] are consecutive perfect squares, then both [tex]a[/tex], [tex]b[/tex] and [tex]c[/tex] are natural numbers and we have the following quantities of natural numbers:

Between [tex]b^{2}[/tex] and [tex]c^{2}[/tex]:

[tex]c^{2} = (b+1)^{2}[/tex]

[tex]c^{2} = b^{2}+2\cdot b + 1[/tex]

[tex]c^{2}-b^{2} = 2\cdot b + 1[/tex]

And the quantity of natural numbers between [tex]b^{2}[/tex] and [tex]c^{2}[/tex] is:

[tex]c^{2}-b^{2}-1 = 2\cdot b[/tex]

Between [tex]a^{2}[/tex] and [tex]b^{2}[/tex]:

[tex]b^{2} = (a + 1)^{2}[/tex]

[tex]b^{2} = a^{2} +2\cdot a + 1[/tex]

[tex]b^{2}-a^{2} = 2\cdot a + 1[/tex]

And the quantity of natural numbers between [tex]a^{2}[/tex] and [tex]b^{2}[/tex] is:

[tex]b^{2}-a^{2}-1 = 2\cdot a[/tex]

And the quantity of natural numbers between [tex]a^{2}[/tex] and [tex]c^{2}[/tex] is:

[tex]Diff = 2\cdot a + 2\cdot b + 1[/tex]

Please observe that the component +1 represents the natural number [tex]b^{2}[/tex]

solve for x. Round to the nearest tenth, if necessary.​

Answers

Answer:

44.4

Step-by-step explanation:

Sin=opposite/hypotenuse

Sin40=x/69

x=69sin40

x=44.4 rounded from 44.352

I’ve gotten this answer wrong twice already

Answers

Answer:

Step-by-step explanation:

The standard vertex form of a quadratic (which is what your graphs are) is

[tex]y=(x-h)^2+k[/tex] where h and  are the coordinates of the vertex. The vertex is really all we need to fill in this equation. Looking at the blue graph, the vertex is located at (-4, 1), so h = -4 and k = 1. Filling in the equation:

[tex]y=(x-(-4))^2+1[/tex] which simplifies down to

[tex]y=(x+4)^2+1[/tex]. It's that simple.I think that's choice C (I'm not sure; it's very tiny!)

A is 5 times B, and B is 7 less than 2 times C. Which of the following statements describes the
relationship betweeen A & C?
(a) A is 7 less than 7 times c
(b) A is 7 less than 10 times C
(C) A is 14 less than 7 times C
(d) A is 35 less than 7 times C
(e) A is 35 less than 10 times C.

Answers

Answer:

C is the answer

Step-by-step explanation:

I'm sure it is

Find the x and y intercept for the equation: − = 4

Answers

Answer:

x = (4,0)

y = (0,-4)

Step-by-step explanation:

x - y = 4

(0) - y = 4

-(-y) = -(4)

y = -4

x - (0) = 4

x = 4

x = (4,0)

y = (0,-4)

Answer:

x = 4 . 0

y = 0 . -4)

Step-by-step explanation:

Re-write the following expression using ADDITION ONLY:
12- 3+16 - 37 - (-20)

Answers

12- 3+16 - 37 - (-20)
=9+16-37-(-20)
=25-37-(-20)
=-12-(-20)
=8
(therefore ur answer would be 8)

Answer:

12- 3+16 - 37 -( 20)

=8

Step-by-step explanation:

Two negatives are a positive , this really helps

Which of the following statements are always true?


A trapezoid is a rhombus.

A trapezoid is a parallelogram.

A trapezoid is a quadrilateral.

A trapezoid is a rectangle.

Answers

Answer:

„A trapezoid is a quadrilateral.” ⇒ true

Step-by-step explanation:

This is a trapezoid. It is a quadrilateral with one pair of parallel sides while other sides are non-parallel. Here, the opposite angles are alternate, that is, they have together 180°.

Isosceles trapezoid

An isosceles trapezoid is a trapezoid with congruent base angles and congruent non-parallel sides. Here, the base angles are the same.

The line segment joining the midpoints of the parallel sides is perpendicular to the bases and the diagonals are the same in length.

Right-angled trapezoid

Trapezoid with two right angles and necongruent non-paralell sides.

Good luck:)


The length of a line is x centimetres.
Write down an expression, in terms of x, for the length of the line in millimetres.

Answers

Answer:

10x

Step-by-step explanation:

Since there are 10 mm in one cm, the expression would be 10x.

Hope this helps!

Answer:

10

Step-by-step explanation:

As we know that 1cm=10mm

so the expression would be 10x.

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