Find the area of the parallelogram whose sides are given by vectors a and b. Use the cross product only.
(Area of the parallelogram = a x b = a cross b)

a = [ 6,3,4], b = [ 2, 5, 1]

Answers

Answer 1

9514 1404 393

Answer:

  √869 ≈ 29.48 square units

Step-by-step explanation:

The vector cross product is ...

  (3·1 -5·4, -6·1 +2·4, 6·5 -2·3) = (-17, 2, 24)

The area is the magnitude of this vector, so is ...

  √((-17)² +2² +24²) = √(289 +4 +576) = √869 ≈ 29.48

The area is about 29.48 square units.


Related Questions

Find the value of x
Please help...no links please

Answers

Answer:

x=1

Step-by-step explanation:

(7x-1)+(2x-1)=7

7x+2x-1-1=7

7x+2x=7+1+1

9x=9

9x/9 = 9/9

x=1

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Answer:

ok

Step-by-step explanation:

Very sleepy plz help, been doing these all day... question in photo

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Answer:

20 40 and 90 are correct

Step-by-step explanation:

A dog rolls over 25 times in 2 minutes. How many times can the dog roll over in 6 minutes

Answers

Answer:

75

Step-by-step explanation:

Count By Two's

25=2 minutes

50=4 minutes

75=6 minutes

Triangle ABC has vertices A(1, 3), B(–2, –1) and C(3, –2). What are the coordinates of the triangle after the reflection over the line x = y?

Answers

Answer:

a(3,1)

b(-1,-2)

c(-2,3)

Step-by-step explanation:

Find the base of a parallelogram with height 11.8 millimeters and an area of 151.04 square millimeters.

Answers

Answer:

12.8

Step-by-step explanation:

D What is the constant rate of change shown in the graph below?
2
3
0.5
1

Answers

Answer: 3

Step-by-step explanation:

need help with this one too

Answers

Answer:

B.

Step-by-step explanation:

Don't doubt me... jwust twust me

50+50+8x+8=180

180-108=8x

x=9

Ur lucky... I explained

Pweeeeeeeeeeeeese mwake me da bwainliestttttttttttt

Can anyone help? I’ll give Brainly :)

Answers

Answer:

1.3%

Step-by-step explanation:

Find the annual dividend by taking the quarterly dividend and mulitplying it by 4

.05*4= .2

divide that by the share price

.2/15= .013333333333333333333

which rounds to 1.3%

Use the graph to help you answer this question
4
6
Point A(2, 1) partitions OR in the ratio of 3 to 2. The coordinates of point Q are (-4,-5). What are the coordinates of point R?
(-2,-3)
0 (4,3)
(6,5)
(0-2)

Answers

Answer:

Coordinates of point R = (6,5)

Step-by-step explanation:

Given;

Point A(2 , 1)

Q(-4 , -5)

m1:m2 = 3 : 2

Find:

Coordinates of point R

Computation:

X = [(m1)(x2) + (m2)(x1)] / (m1 + m2)

2 = [(3)(x2) + (2)(-4)] / (3 + 2)

2 = [3x2 - 8] / (5)

10 = [3x2 - 8]

3x2 = 18

x2 = 6

Y = [(m1)(y2) + (m2)(y1)] / (m1 + m2)

1 = [(3)(y2) + (2)(-5)] / (3 + 2)

1 = [3x2 - 10] / (5)

5 = [3x2 - 10]

3y2 = 15

y2 = 5

Coordinates of point R = (6,5)

5 pound each pound has 1/4 how many

Answers

Answer:

5/4

Step-by-step explanation:

5 pounds, and if each of those has 1/4 of something then they would have 5/4 or 1.25 of that something

A plumber charges of fee of $75 to make a house call. He also charges $50 per hour for labor.

1. Write an equation that represents the plumber's charges. Let x represent the number of hours for labor an dy the total cost.
2. Use equations from part one to predict the cost of hiring the plumber for a 5-hour long repair.

Answers

Answer:

For part 1- y=50x+75 For part 2- y=325

Step-by-step explanation:

the cost is increasing 50 for every hour

there is a flat rate of 75 to answer a house call

y=50x+75

y=50(5)+75

y=250+75

y=325

The circumference of a circle can be found using the c = 2πr Find the circumference of a circle with a diaper of 4 ft

Answers

Answer:

12.57

Step-by-step explanation:

2 π r d= 2 r

Solving for C

C= d = π 4 ≈12.56637

A vehicle owner interested in her vehicle’s fuel economy calculated the gas mileage in miles per gallon (mpg) each time she filled her tank, for several years. Here are the mpg values for a random sample of 20 of these records. Suppose that the standard deviation is known to be σ = 3.5 mpg.

Required:
Find the 95% confidence interval for the mean of gas mileage for this vehicle.

Answers

Answer:

The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.5}{\sqrt{20}} = 1.53[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is S - 1.53.

The upper end of the interval is the sample mean added to M. So it is S + 1.53.

The 95% confidence interval for the mean of gas mileage for this vehicle is (S - 1.53, S + 1.53), in which S is the mean of the sample of 20.

NEED HELP‼️‼️ 20 points‼️
Find the measurement of the angle indicated for each trapezoid.

Answers

Answer:

Simple it would be 76x - 1 whatever that is, and 72x + 3 which u shuld get like uh 75x, and 75x again on both so its 75x

PLEASE DONT QUOTE ME ON THIS

Xoxo~May

Step-by-step explanation:

A pet store is selling dogs for $140 and cats for $70. If 28 pets were sold and the
receipts were $3360, how many cats were sold?

Answers

Answer:

x+y=28. 70x+140y=3360. 8 cats, 20 dogs were sold.

Step-by-step explanation:

hope it helps :)

Find the volume of the cone. Round to the nearest tenth.
2 ft. 14ft
Volume: ft3

Answers

the volume is 410.5 ft^3

Simplify the following and express your answers in positive exponent form:
Qii)

Answers

The answer is t^2/y^2

one over y squared multiply by t squared

30 points Someone help im very confused.
Which trigonometric function has a range that does not include a zero?
y=cosx
y=cotx
y=tanx
y=secx

Answers

Answer:

y=cotx

Step-by-step explanation:

Mark needs to use eye drops. Does it make sense to have a few drops of one milliliter in each eye? explain .

Answers

It would be too much.

According to www.cambridgeshireandpeterboroughccg.nhs.uk purely as a reference for this: Each eye drop should only be about 0.05 mL.

This is much less than 1 mL, so Mark is using putting far too much eye drop liquid into his eyes.

maths question in jpg file

Answers

Answer:

5*2+1/2*-2

11/2*-2

-11

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

11/5÷(-½)

11/5×2/1

LCM of 11,1 is 11

So,

5×22/11

110/11

10

factor the expression 8q^6r^3+27s^6t^3

Answers

Answer:

(2q^2r+3s^2t)(4q^4r^2-6q^rs^2t+9s^4t^2)

Step-by-step explanation:

app said so... 0_0

   !!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
What is the input value for the following function if the output value is nine? Y=x+8.
Image above

Answers

Answer:

x = 1

Step-by-step explanation:

y = x + 8

Output value = 9, means y = 9.

9 = x + 8

x + 8 = 9

Subtract 8 from both sides.

x = 1.

la suma de tres números enteros consecutivos es -756. ¿Cuáles son los números?

Answers

Answer:

Which means that the first number is 251, the second number is 251 + 1 and the third number is 251 + 2. Therefore, three consecutive integers that add up to 756 are 251, 252, and 253. 251 + 252 + 253 = 756 We know our answer is correct because 251 + 252 + 253 equals 756 as displayed above.

Step-by-step explanation:

A computer technician notes that 40% of computers fail because of the hard drive, 20% fail due to the processor, 15% of problems are with the keyboard, and 5% of problems are due to something else. What is the mean of the number of computers he will work on before seeing his first computer that has failed because of the hard drive?

Since there are four categories, the technician can expect 4 computers until one has failed due to the hard drive.
Since 40% is equivalent to Two-fifths, it is expected that Five-halves = 2.5 computers until one has failed due to the hard drive.
Since the highest percentage of failure is due to the hard drive, the technician can expect that the first computer will have failed due to the hard drive. So the expected value is 1.
Since it is more likely that a computer has failed due to some other issue, the technician can expect the first computer to fail due to some other issue, and the second to fail due to the hard drive. So the expected value is 2

Answers

Answer:

Answer is b

Step-by-step explanation:


45 POINTS
Click on the measure of the angle.

Answers

Answer:

Ha ha ha ha ha

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If you wanna be my lover, you gotta get with my friends

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If you wanna be my love

Step-by-step explanation:

Evaluate the expression when b= 14 and c=6.

Answers

Answer:

14-6 = 8

14+6 = 20

14 x 2 = 28

14/2 = 7

2/14 = 1/7 = 0.14285714285

14^2 + 6 =  196 + 6 = 202

and so on..

Step-by-step explanation:

Is this triangle acute, right, or obtuse?

NEED HELP WITH THIS!!!!!! 50 points!!!!!!

A. Acute

B. Right

C. Obtuse

Answers

Answer:

acute

hope this helps

have a good day :)

Step-by-step explanation:

A math teacher has a number cube with faces numbered 1 through 6. He will roll the number cube 400 times. Which of the following ranges contains the best prediction for the number of times the number cube will land with a 1 or a 4 on the top face?

A. 30-35

B. 65-70

C. 130-135

D. 265-270

Answers

Answer:

Step-by-step explanation:

B?

Which expression can be used to find m pls help

Answers

Answer:

∠ U = 22.62°

Step-by-step explanation:

We can use the trigonometric expression to find ∠U by using the ratio:

sin(θ) = opposite/ hypotenuse

=> sin ∠U = 7.5/ 19.5

=> ∠ U = [tex]sin^{-1}[/tex]( 7.5/ 19.5)

∴ ∠ U = 22.619° ≈ 22.62°

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