Mathematics High School

Find the projection of u onto v
URGENT HELP

Find The Projection Of U Onto VURGENT HELP

Answers

Answer 1

Given:

Two vectors are:

[tex]u=\left <0,6\right>[/tex]

[tex]v=\left <2,17\right>[/tex]

To find:

The projection of u onto v.

Solution:

Magnitude of a vector [tex]v=\left <a,b\right>[/tex] is:

[tex]|v|=\sqrt{a^2+b^2}[/tex]

Dot product of two vector [tex]v_1=\left <a_1,b_1\right>[/tex] and [tex]v_2=\left <a_2,b_2\right>[/tex] is:

[tex]v_1\cdot v_2=a_1a_2+b_1b_2[/tex]

Formula for projection of u onto v is:

[tex]Proj_vu=\dfrac{u\cdot v}{|v|^2}v[/tex]

[tex]Proj_vu=\dfrac{\left <0,6\right>\cdot \left <2,17\right>}{(\sqrt{2^2+17^2)^2}}\left <2,17\right>[/tex]

[tex]Proj_vu=\dfrac{0\cdot 2+6\cdot 17}{4+289}\left <2,17\right>[/tex]

[tex]Proj_vu=\dfrac{0+102}{293}\left <2,17\right>[/tex]

On further simplification, we get

[tex]Proj_vu=\dfrac{102}{293}\left <2,17\right>[/tex]

[tex]Proj_vu=\left <\dfrac{102}{293}\cdot 2,\dfrac{102}{293}\cdot 17\right>[/tex]

[tex]Proj_vu=\left <\dfrac{204}{293},\dfrac{1734}{293}\right>[/tex]

Therefore, the projection of u onto v is [tex]Proj_vu=\left <\dfrac{204}{293},\dfrac{1734}{293}\right>[/tex].

Related Questions

Selection two: solving two step equations (7 of 10) 20-n=48

Answers

N= 28! 20-28=48 (also the same as 20+-28=48)
Please Mark BRAINLIEST!

please help asap!!!!!!!!

Answers

Answer:

Step-by-step explanation:

|4(x-3)|=15
PLS I NEED HELP ASAP

Answers

Answer:

27/4 or negative 3/4

Step-by-step explanation:

In the star below, all of the inscribed angles are congruent. Find the measure of each inscribed angle.

Answers

Answer:

36 degrees for each angle.

Step-by-step explanation:

If you divide 180 by 5 (for each point in the star) you get 36 degrees.

what is the answer to this

Answers

I think it’s d I’m not sure though

Please Hurry!!
For his long distance phone service, Chris pays a $3 monthly fee plus 11 cents per minute. Last month, Chris's long distance bill was $11.03. For how many minutes was Chris billed?

__ minutes

Answers

The answer is that It’s 73 minutes
an hour and 13 minutes

ALGEBRA PROBLEM PLZZ HELP

Answers

Answer:

A

Step-by-step explanation:

Answer: C

you have to multiply -3 on each side add do regular equation steps

such as

[tex]\frac{d-5}{-3\\}[/tex]≥-4*-3

d-5 ≥12

d≥17

Match each equation with the problem it represents.

Answers

Answer:

4 more than the product of 9 and a number is 36. /// 9n + 4 = 36

9 times the sum of a number and 4 is 36. /// 9(n + 4) = 36

4 times the sum of a number and 9 is 36. /// 4(n + 9) = 36

9 subtracted from the product of 4 and a number is 36. /// 4n - 9 = 36

Find all the complex square roots of W= 100 (cos 60 + I sin 60). Write the roots in polar form with theta in degrees.

Answers

Answer:

2√3+2i

hope it helps

please mark Brainliest

Can someone helpppp meee?!!!:))

Answers

Answer:

3(x+6)=3x+18 = infinite

x-7=-7+x = infinite

5(x-3)=15+5x = no solution

Teresa is in need for help ;-; pls help her! (lolllllllllllllllllllllllllllllllllllllllllllllllllll)

Answers

90

the answer is 90 but the answer i give has to be over 20 characters so i'm typing random things. have a good day:)

Michelle is giving a haircut and a permanent to another woman. The
total bill is $77. If the woman tips Michelle 15%, how much will the tip
be?

Answers

Answer:

$77 x 15/100 = $11.55

Step-by-step explanation:

15 percent of 77 dollars is 11.55

Table #1
The values in the table follow a linear pattern or an
exponential pattern
1
Enter the missing y-value in the table.
3
Submit and Explam
12

Answers

Answer: the missing y-value is 7

Step-by-step explanation: look at the image for the steps for the problem

Select the true statement about triangle ABC.

A. sin A = tan C
B. sin A = sin C
C. sin A = cos B
D. sin A = cos C

Answers

Answer:

the true statement is D. sin A = cos C

it's because,

statements A and B do not match and as for statement C, angle B is not included in trigonometric ratios

What is the value of x based on the relationships in this
triangle?

Answers

Your answer is 12°

The angles in triangle always add up to 180.

You can set up an equation using that information:

(2x+1)+(5x+5)+90=180

Combine like terms:

7x+96=180

Subtract 96 from both sides

7x=84

Finally, divide 7 from both sides and you get

X=12

PLEASE HELP WILL MARK BRAINLIST
Find the length of YVU. Round to the nearest hundredth.
U
Y
V
85
1089
Z
X
W
XV = 24 meters
6.33

Answers

Step-by-step explanation:

m<UZV = 180-108=72°

arc YVU = 180+72+85= 337°

diameter XV = 24 m

so, the length of arc YVU =

337/360 × π × D

= 0.94 × 3.14 × 24 m

= 70.84 meters

Answer:

70.58

Step-by-step explanation:

just did it. other dude's decimals are wrong.

Hey! I was wondering if someone could help me with this problem? (: I started it off but I need help for anyone who can help me thank you!

Answers

Answer:

(-4, 2)

Step-by-step explanation:

5x + 15y = 10 ---› Eqn. 1

5x - 10y = -40 ---› Eqn. 2

Subtract the eqn 2 from 1 to eliminate the x variable

Thus:

25y = 50

Divide both sides by 25

y = 50/25

y = 2

Substitute y = 2 into eqn 1.

5x + 15y = 10 ---› Eqn. 1

5x + 15(2) = 10

5x + 30 = 10

Subtract 30 from each side

5x = 10 - 30

5x = -20

Divide both sides by 5

5x/5 = -20/5

x = -4

Solution would therefore be (-4, 2)

A number of two digits is increased by 54 when the digits are reversed. The ten digits is three times the unit digit. Find the number​

Answers

Let n be the unknown number. We can write it as

n = 10a + b

with a and b integers between 1 and 9 (either with positive or negative sign).

Reversing the digits gives another number

m = 10b + a

The first number is increased by 54 when the digits are reversed, which means

m = n + 54   →   10b + a = 10a + b + 54   →   9b - 9a = 54   →   b - a = 6

The digit in the tens place of n is 3 times the digit in the ones place, so

a = 3b

Substitute this into the previous equation and solve for b :

b - a = b - 3b = -2b = 6   →   b = -3

Solve for a :

a = 3b = 3(-3) = -9

Then the original number is n = 10a + b = 10(-9) + (-3) = -93

Find the value of x need ASAP

Answers

Answer:

x=75°

Step-by-step explanation:

the triangle is an isosceles triangle (which you can tell since they show you that the two sides are congruent)

so this means that the base angles are congruent

so, x=75°

hey lol pls help ;)
A) the angles are alternate exterior angles
B) the angles are interior angles
C) the angles are supplementary angles
D) the angles are vertical angles

Answers

The answer is A because it’s right

write the first six cube of natural number​

Answers

Answer:

1, 8, 27, 64, 125, 216, 343, 512, ... 1, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, ...

Step-by-step explanation:

Answer:

The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

Step-by-step explanation:

Natural Numbers are known as 1, 2, 3, 4, ..., ∞

Now,

For Cube of first six natural numbers

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

Thus, The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

-TheUnknownScientist

If x = 4, what is the value of 4x + 3?

Answers

Answer:

19

Step-by-step explanation:

4(4)+3=19

19 is your answerrrrr

Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall.

Answers

Answer:

2400 in^3

Step-by-step explanation:

Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall. How much water will the fish tank hold?

the capacity of the tank can be determined by calculating the volume of the tank

volume of a prism = length x width x height

20 x 10 x 12 = 2400 in^3

pPLEASE HELP WILL MARK IF CORRECT

Answers

Answer:

f(5) = 2

Step-by-step explanation:

it says to use the function (-x+3) for when x is bigger than 2

f(x) = (-x) + 3 replace x with 5

f(5) = (-5) + 3 and f(5) = 2

Answer:

[tex]f(5)=-2[/tex]

Step-by-step explanation:

In piecewise functions, we need to find the applicable equation to use based on our value of [tex]x[/tex]. [tex]f(5)[/tex] denotes [tex]x[/tex] as 5. Since [tex]5>2[/tex], we will use the equation that corresponds to [tex]x>2[/tex], which is [tex]-x+3[/tex].

Substituting [tex]x=5[/tex], we have:

[tex]x=-(5)+3,\\x=-5+3,\\x=\boxed{-2}[/tex]

The question in the image
Please help

Answers

✎ Answer:m MP= 88°

⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆

MP= 2∠MQP= 2(44)=88°

✄----------------

hope it helps...have a great day!!

the mean of six numbers is 12.five of the numbers are 11,7,21,14 and 9.calculate the sixth number​

Answers

Answer:

10

Step-by-step explanation:

no files i’ll report your answer
50 point answer
•
In the diagram below, lines TK and I are
90
L
M
<
A. skew
B. parallel
C. perpendicular

Answers

Answer:

C. Perpendicular

Step-by-step explanation:

The lines are making 90° with each other.

JK ⊥ LM, the lines are perpendicular

Correct choice is C

2 Charles is saving $5 each week from his allowance. He already saved $15 from the money he earned from mowing his neighbor's lawn. Write the inequality to represent the number of weeks (w) will he need to save in order to save at least $75? (You are not solving this inequality.)​

Answers

Answer:

15 + 5w ≥ 75

Step-by-step explanation:

Let the number of weeks be represented as w.

We are told from the question that:

Charles is saving $5 each week from his allowance. He already saved $15 from the money he earned from mowing his neighbor's lawn.

The word "at least" in mathematics means equal to or greater than and it is represented by the sign ≥

Therefore, our inequality equation is written as:

15 + 5w ≥ 75

2x + 5 /3x + 7 = 3/5 find X plz​

Answers

Answer:

x = -96/55

Step-by-step explanation:

Given that 2x + (5 /3)x + 7 = 3/5

Firstly, we have to multiply through out the expression by the common denominator. We can see that the denominators are 3 and 5, hence the common denominator is 15. Multiplying through by 15 gives:

2x * 15 + (5 /3)x * 15 + 7 * 15 = (3/5) * 15

30x + 25x + 105 = 9

Collect like terms:

30x + 25x = 9 - 105

55x = -96

Dividing through by 55:

x = -96/55

solve (√100 +√25). ASAP​

Answers

Answer:

Step-by-step explanation:

15

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