TAKE HOME
1. Find the angle between the vectors:
i-23 + 5k and 3i+j - 2k

Answers

Answer 1

Answer:

The angle between the two vectors

∝ = 64°

Step-by-step explanation:

Step(i):-

Given that the vectors

                           [tex]a^{-} = i^{-} - 2j^{-} +5k^{-}[/tex]

          and

                         [tex]b^{-} = 3i^{-} +j^{-} -2k^{-}[/tex]

[tex](a^{-} . b^{-} ) = (i^{-} - 2j^{-} +5k^{-} ) . (3 i^{-} + j^{-} - 2k^{-} )[/tex]

           =  3 (i⁻ . i⁻) - 2(j⁻.j⁻) -10(k⁻.k⁻)

          = 3 - 2 -10

          = -9

Step(ii):-

Let '∝' be the angle between the two vectors

                    [tex]cos\alpha = \frac{a^{-}.b^{-} }{|a||b|}[/tex]

                  [tex]cos\alpha = \frac{|-9| }{\sqrt{1+4+25}\sqrt{9+1+4} }[/tex]

                 [tex]cos\alpha = \frac{|-9| }{\sqrt{30}\sqrt{14} }[/tex]

               [tex]\alpha =cos^{-1} ( \frac{|-9| }{\sqrt{30}\sqrt{14} })[/tex]

              ∝ = cos⁻¹(0.4392) = 63.947

Final answer:-

The angle between the two vectors

               ∝ = cos⁻¹(0.4392) = 63.947

                ∝ = 64°


Related Questions

HELP ME ASAP!!!!!!!


WINNER GETS BRAINLIEST, THANKS AND A STAR RATING OF EXCELLENT!!!!!!!


Please friend request me and I'll accept

Answers

Answer:

3hours and 30 minutes moving and 2 and a half hours stationary

Step-by-step explanation:

1 hour + 30 minutes + 1 hour + 30 minutes + 30 minutes for moving

1 hour + 1 hour + 30 minutes for stationary.

IM GIVING BRAINLIEST!!!PLEASE HELP!!!

Answers

The answer is C (2,-4).

The answer is C aka answer 3

Whats 4 + 4 + 8 + 8 + 10 + 16 + 50 x 10 = ?

Answers

Answer:

550

4 + 4 + 8 + 8 + 10 + 16 + (50 x 10)

Step-by-step explanation:

Answer:

550 is the answer

..............

what is the circumference of
d= 7yd
c = ?

Answers

Answer: 7pi

Step-by-step explanation:

To find the circumference do radius (d/2)*2*pi

substitute 7*pi

7pi

A survey of 120 twelfth-graders finds that 36% were carrying more than $15 on the day of the survey. Use the margin of error to complete the following. Round to the nearest whole percent. An interval that will likely include the proportion of students in the population of twelfth-graders who carry more than $15 is ?

Answers

Answer:

An interval that will likely include the proportion of students in the population of twelfth-graders who carry more than $15 is 960

Step-by-step explanation:

For example, Condition 1: n(.05)≤N

• The sample size (10) is less than 5% of the population (millions of musicians), so

the condition is met.

• Condition 2: np(1-p)≥10

• =

2

10

= .2

• 1 − = 10 .2 1 − .2 = 1.6 . This is less than 10 so this condition is not

met.

It would not be practical to construct the confidence interval.

URGENT I NEED ANSWER WITH WORK
All the students in the 6th grade either purchased their lunch or brought their lunch from home on monday. 24% of students purchased lunch and 190 students brought lunch from home. How many students are in the 6th grade?
a 76
b 166
c 214
d 250

Answers

Answer: 250 students.
Step-by-step explanation:
Let x students in 6th grade either purchased their lunch or brought their lunch from home on Monday.
According to the question,
24% of the students purchased their lunch.
⇒ (100-24)% of the student brought their lunch from home.
⇒ 76 % of the student brought their lunch from home.
But, Again according to the question,
190 students brought their lunch from home.
⇒ 76 % of x = 190

⇒ x = 250
Therefore, there are total 25 students in the 6th grade.

Solve for v.
20 = 4 x v

v = ??

Answers

Answer:

v = 5/x

Step-by-step explanation:

Hope this helped

Answer: v=5

→Hope this helps!←

Which two of the following numbers are rational?

​1/3
.10


√2

Answers

Answer:

1/3, 0.10

Step-by-step explanation:

Rational numbers can be expressed as a fraction of two integers.

1/3 is rational. When it is expressed as a fraction, it's 1/3. 1 is an integer, and 3 is an integer

0.10 is rational. It can be rewritten to be expressed as the fraction 1/10; 1 is an integer, and 10 is an integer.

.[tex]\pi[/tex] is irrational, because when expressed as a fraction, it is 1/[tex]\pi[/tex]. 1 is an integer, but [tex]\pi[/tex] is not. Both numbers need to be integers in order to be rational. Therefore, it is irrational

√2 is irrational. When expressed as a fraction, it's √2/1. √2 is not an integer. 1 is an integer. However, both numbers have to be integers in order to be rational. Therefore, √2 is not rational.

Please help!!!!!!!!!!!!!!!

Answers

Answer:

4 if not im SUPER sorry!!!!!!!!

Step-by-step explanation:

round the number 2788.32 to the nearest whole number

Answers

2788 would be the answer since 0.32 would round down so its 2788

5x/7-5=50 plsssssssssss noBOTS

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: x=77

Explanation:

5x/7 - 5 = 50

5x/7 = 55

5x = 385

x = 77

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

5x/7 - 5 = 50

5x/7 = 50+5

5x/7=55

5x=55x7

5x = 385

x=385/5

x=77

PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANNIEST
( PLEASE SHOW WORK OR I MIGHT NOT GIVE BRAINIEST )

Answers

Answer:

3

Step-by-step explanation:

i dont know how to show the work i did it in my head

Someone plz help me I will give brainliest

Answers

Answer:

A

Step-by-step explanation:

Note: "of" is a great indicator of multiplication in math problems.

In option A, Lily eats [tex]\frac{3}{8}[/tex] of the grapes, and there are 4 grapes, so we know it is

(3/8)*4 or 4*(3/8)

In the other options the "of" is followed by a unit that is not 4, such as a foot, a mile, and an hour.

at a light bulb manufacturing plant 2% of the light bulbs are found to be defective if the plant have 56 defective lightbulds on a certain day how many did it manufacture that day

Answers

Answer:2800

Step-by-step explanation:

So 2 percent is 2/100 or 1/50 so just multiply 56 by 50 and you will get 2800

SOLVE

1. Afton made a chicken dish for dinner. She added a 10 - ounce package of vegetables and a 14- ounce package of rice to 40 ounces of chicken. What was the total weight of the chicken dish in pounds?
__________________________________________________________________

2. A jar contains 26 fluid ounces of spaghetti sauce. How many cups of spaghetti sauce do 4 jars contain?
__________________________________________________________________

3. Coach kent brings 3 quarts of sports to drink to soccer practice. He gives the same amount of the drink to each of his 16 players. How many ounces of the drink does each player get?
__________________________________________________________________

4. Leslie needs 324 inches of fringe to put around the edge of a tablecloth. The fringe comes in lengths of 10 yards. If Leslie buys 1 package of fringe how many feet of fringe will she have left over?
_________________________________________________________________

5. An office supply company is shipping a case of wooden pencils to a store. There are 64 boxes of pencils in the case. If each box of pencils weighs 2.5 ounces, weight, in pounds, of the case of wooden pencils?
__________________________________________________________________

Answers

Answer:

Step-by-step explanation:

Numer 1:  The answer to this problem is 4 pounds

Numer 2: 13 cups

Explanation:

Four jars of sauce with 26 oz would be a total of 104 ounces

4 x 26 = 104

1 cup contains 8 ounces.

104 oz x [tex]\frac{1cps}{8oz}[/tex]=13 cups

Numer 3: Since,  1 quartz = 33.307 ounces ( approx )

⇒ 3 quartz  = 99.921 ounces

If the total number of players = 16,

And, the given fluid is divided equally among these players,

Then the total quantity of fluid each player get

[tex]\frac{toral quality od drink }{ total players}[/tex]

=[tex]\frac{99.921}{16}[/tex]

=6.24505625= 6.245

Hence, each player will get around 6.245 ounces of the drink.

Number 4:

36 inches or 3 feet is the correct answer

Number 5 ;

The correct answer for the question that is being presented above is this one: "10 pounds." An office supply company is shipping a case of wooden pencils to a store. There are 64 boxes of pencils in the case. If each box of pencils weighs 2.5 ounces, then...

There are:  

64 boxes of pencils

1 box weighs 2.5 ounces

Find its total weight in pounds.

1 ounce = 0.0625 pounds

64 boxes * 2.5 ounces = 160 ounces

160 ounces * 0.0625 pounds/1 oz = 10 pounds.

The 64 boxes of pencils weigh 10 pounds.

PLEASE HELP I NEED THIS IS DUE IN AN HOUR!!! 40 POINTS!!!Sherelle and Venita’s grandmother said that one of the bags has a coin from 1916. What reasons might Sherelle give for saying that the 1916 coin is most likely in her bag? What reasons might Venita give for saying that the 1916 coin is most likely in her bag? Whose bag do you think is more likely to contain the 1916 coin? Explain your reasoning. Answer:

Answers

Answer:

I dont know about Sherelle, but Venita's grandmother can give a reason that as she is from older age, most probably, the coin can be in her bag...... And the coin, according to me will be in grandmother's bag....

Hope it helps!!!

needddddd helpppppp asapppp/ Necesitoooo ayudaaaaa rapidooo

Answers

Answer:

42 cm^2

Step-by-step explanation:

armyphobic

The height of a cylinder is 8 centimeters. The circumference of the base of the cylinder is 14 pi. What is the measurement of the volume of the cylinder in cubic centimeters? Round to the nearest tenth.

Answers

Answer:

15

Step-by-step explanation:

Neeed help please???????!!!!!!

Answers

Arc HKJ for one but I do known abt 2

A spinner is evenly divided into 9 sections and numbered from 1 through 9. What is the probability of spinning a number less than 5 in a single spin?

Answers

Answer:

2

Step-by-step explanation:

Count the spins

Number 7 please help 10 points no links pleAse

Answers

Answer:

Option C : 25

Step-by-step explanation:

Given,

Number of rainy days = 18

Number of cloudy days = 14

Number of sunny days = 29

Therefore,

Number of days either sunny or cloudy = 14 + 29 = 43

So,

Number of more days sunny or cloudy than rainy are

= 43 - 18 = 25

Hence,

Option C 25 is the correct answer.

1. To the nearest hundredth, what is the value of x?

Answers

Answer:

41.51

Step-by-step explanation:

cos(41)=x/55

x=cos(41)*55≈41.51

i think the answer is option b

2 elephants and 15 tigers plus 4 elephants equal?

Answers

Answer:

6 elephants + 15 tigers

Step-by-step explanation:

(Im assuming that the animals are meant to be variables)

X = elephants, y = tigers

2x + 15y + 4x

Combine like terms: 2x + 4x +15y

Simplify: 6x + 15y

for brainiest:):):):):):):):):)

Answers

Answer:

1=80%

2=44%

3=11%

4=15

5=30%

6=21%

7=2%

8=9%

Step-by-step explanation:

Hopefully they are all correct but I tried my best

i need help please think before you answer

Answers

Answer:a^2

Brailniest if this helped ;)

Also the ^ means an exponent just so you know

987 mm = ___ cm
hurry i need help.​

Answers

Answer:

987 milmeters equal to 98.7 centimeters

Step-by-step explanation:

To figure these kinds of problems divide the millimeter by 10 and you will get the centimeter value.

Hope that helps!

Help ASAP please help me easy question hurryyyyy please ASAP please please

Answers

Please find the attached photograph for your answer

13

Find the percent of change in the time to run a

mile from June to September. Round to the

nearest tenth of a percent. (Hint, make sure

change each to seconds first!)

7:45

(5:57

June

September

Answers

Answer:

23.225%

Step-by-step explanation:

Runtime in June (x1) = 7:45 = (7 * 60) + 45 = 465

Runtime in September (x2) = 5:57 = (5*60)+57 = 357

Percentage change in Runtime :

[|x2 - x1|÷ x1] * 100%

[|357 - 465| ÷ 357] * 100%

108 / 465 * 100%

0.23225 * 100%

= 23.225%

Yes or no???????????????

Answers

It is a right triangle.

yes, pythagorean theory a^2 + b^2 = c^2
36^2 + 77^2 = 7225
85^2 = 7225
(c is the biggest length)

What are roots of quadratic equations?​

Answers

Answer:

Here's a link that I found that was helpful to me: http://www.biology.arizona.edu/biomath/tutorials/quadratic/roots.html#:~:text=Roots%20are%20also%20called%20x%2Dintercepts%20or%20zeros.&text=The%20roots%20of%20a%20function,%2B%20bx%20%2B%20c%20%3D%200.

Step-by-step explanation:

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