Here are three displacements, each in meters: d₁ = 7.61 +2.5) - 3.4k, d₂ = - 1.01 + 2.0 + 3.0k, and d3 = 4.01 +3.0 +2.0k. What is 7 = d₁ - d₂ + d3 ((a), (b) and (c) for î, j and k components respectively)? (d) What is the angle between 7 and the positive z axis? (e) What is the component of d along the direction of d2? (f) What is the component of d, that is perpendicular to the direction of d2 and in the plane of d, and d₂? 1​

Answers

Answer 1

Answer:

a) The i-component of 7 is (7.61 + 2.5) - 3.4k = 7.61 + 2.5 - 3.4k

b) The j-component of 7 is -1.01 + 2.0 + 3.0k = -1.01 + 2.0 + 3.0k

c) The k-component of 7 is 4.01 + 3.0 + 2.0k = 4.01 + 3.0 + 2.0k

d) To find the angle between 7 and the positive z-axis, we need the dot product of 7 and the unit vector along the positive z-axis (0,0,1). The dot product is given by:

(7.61 + 2.5 - 3.4k)(0) + (-1.01 + 2.0 + 3.0k)(0) + (4.01 + 3.0 + 2.0k)(1)

And the angle between 7 and the positive z-axis is given by the following formula:

cos(theta) = (7.dot.unit_vector_z_axis) / (||7||.||unit_vector_z_axis||)

e) To find the component of d along the direction of d2, we need to find the projection of d on d2. The projection is given by the dot product of d and d2 divided by the square of the magnitude of d2.

f) The component of d that is perpendicular to the direction of d2 and in the plane of d and d2 is given by the vector subtracting the component of d along the direction of d2 from the original vector d

Answer 2

a) The i-component of 7 is (7.61 + 2.5) - 3.4k = 7.61 + 2.5 - 3.4k

b) The j-component of 7 is -1.01 + 2.0 + 3.0k = -1.01 + 2.0 + 3.0k

c) The k-component of 7 is 4.01 + 3.0 + 2.0k = 4.01 + 3.0 + 2.0k

d) To find the angle between 7 and the positive z-axis, we need the dot product of 7 and the unit vector along the positive z-axis (0,0,1). The dot product is given by:

(7.61 + 2.5 - 3.4k)(0) + (-1.01 + 2.0 + 3.0k)(0) + (4.01 + 3.0 + 2.0k)(1)

And the angle between 7 and the positive z-axis is given by the following formula:

cos(theta) = (7.dot.unit_vector_z_axis) / (||7||.||unit_vector_z_axis||)

e) To find the component of d along the direction of d2, we need to find the projection of d on d2. The projection is given by the dot product of d and d2 divided by the square of the magnitude of d2.

f) The component of d that is perpendicular to the direction of d2 and in the plane of d and d2 is given by the vector subtracting the component of d along the direction of d2 from the original vector d

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Related Questions

Hydraulic oil should be used?

Answers

Answer:

Hydraulic oil is commonly used in hydraulic systems for various applications, such as heavy machinery, industrial equipment, and automotive systems. It serves as a crucial component in hydraulic systems as it helps transmit power and lubricate moving parts.

Write 10 power tools​

Answers

The ten engineering power tools are:

Cordless DrillAngle GrinderCircular SawWelding MachineImpact WrenchBench GrinderRotary HammerTable SawBelt SanderMultimeter

What is engineering power tools?

Engineering Power Tools is a very effective productivity tool for professional engineers. More than 70 programs and data tables are incorporated into a single user-friendly package. The tools swiftly and simply address a wide range of typical engineering issues.

Power tools may help you save time and energy when working on tasks, as well as make the job easier and more pleasurable. A cut off saw, for example, may help you swiftly and simply cut through wood or other materials. When attempting to accomplish a project, this may save you a lot of time and frustration.

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4. Tony Hawk weighs about 60 kg. Calculate the difference in the pressure placed on the snow if he was standing in the snow on one snowshoe compared to standing in the snow in one boot. The area of the snowshoe is 0.20 m² and the area of the boot is 0.05 m².​

Answers

The difference in pressure placed on the snow when Tony Hawk stands on one snowshoe compared to standing in one boot is 800 Pa.

1. Convert the weight of Tony Hawk from kg to N (Newton):

  Weight = Mass x Gravity

  Given that Tony Hawk weighs about 60 kg and the acceleration due to gravity is approximately 9.8 m/s²,

  Weight = 60 kg x 9.8 m/s² = 588 N

2. Calculate the pressure exerted by Tony Hawk on the snow when standing on one snowshoe:

  Pressure = Force / Area

  Given that the area of the snowshoe is 0.20 m²,

  Pressure on snowshoe = 588 N / 0.20 m² = 2940 Pa

3. Calculate the pressure exerted by Tony Hawk on the snow when standing in one boot:

  Given that the area of the boot is 0.05 m²,

  Pressure on boot = 588 N / 0.05 m² = 11760 Pa

4. Calculate the difference in pressure placed on the snow:

  Difference in pressure = Pressure on snowshoe - Pressure on boot

  Difference in pressure = 2940 Pa - 11760 Pa = -8820 Pa

Note: The negative sign indicates that the pressure on the snowshoe is lower compared to the pressure on the boot. However, in this context, the absolute value of the difference (8820 Pa) represents the magnitude of the pressure difference.

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What are the correct answers for this problem, please show your work on how you got the answer.

Answers

An asynchronous counter wired to count from 6 to 2 requires a reset value of 7 (binary: 111). The count limit logic looks for the binary value 111 to reset the circuit. In decimal form, the reset value is 7.

It seems that you have described an asynchronous counter that counts from 6 to 2 and requires a reset value of 7. In binary form, the reset value is represented as 111, which corresponds to the decimal value 7.

An asynchronous counter is a sequential circuit that sequentially goes through a defined sequence of states. Each state corresponds to a unique binary value. In this case, the counter starts at 6 (binary: 110) and counts down to 2 (binary: 010). When the counter reaches the value of 2, it should be reset back to 7 to restart the counting sequence.

To implement the reset functionality, a count limit logic is used. This logic detects when the counter reaches the binary value 111, which represents the decimal value 7. When this condition is met, the counter is reset to its initial state of 6, and the counting sequence starts over again.

Please note that the implementation details of the counter and the count limit logic may vary depending on the specific design and circuitry used.

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ASAP correct answer plss When you are driving, if you see this traffic sign it means
A: There is a low place in the road. You should drive slowly and be ready to stop if the low place is
filled with water.
B: The road slopes gently downward and upward ahead. You should continue at the same speed if
the way is clear.
C: There is a downhill section of road ahead. If you are driving a large vehicle you should change
to a lower gear to control your speed.

Answers

Answer:

C

Explanation:

what is wood cutting chisels for a primary one (Explain in low terms).If you can answer this question i will mark you brainliest question ​

Answers

Answer:A chisel is a tool with a characteristically shaped cutting edge (such that wood chisels have lent part of their name to a particular grind) of blade on its end, for carving or cutting a hard material such as wood, stone, or metal by hand, struck with a mallet, or mechanical power. The handle and blade of some types of chisel are made of metal or of wood with a sharp edge in it.

Explanation:

In the early 1900s, what was developed and used that opened the door for naval use of aircraft?

Answers

Answer:

I think its aircraft carrier

Explanation:

In the early 1900s, aircraft carrier was developed and used that opened the door for naval use of aircraft.

What is aircraft carrier?

A vessel that acts as a seagoing airbase and has a full-length flight deck as well as spaces for storing, preparing for deployment, and bringing back aircraft is known as an aircraft carrier.

Since then, the number of routes has continuously decreased. Throughout the 1990s, it remained at 12 carriers, and after 9/11, it dropped to 11 in 2007.

Congress authorised a minimum force of 11 carriers in 2011 because of concern that the number of aircraft will decline much further. Ten aircraft carriers from the Nimitz class are active in the US Navy.

A battleship that only serves as a seagoing airbase, equipped with a full-length flight deck with areas for deploying and retrieving aircraft, is called an aircraft carrier.

Thus, the answer is aircraft carrier.

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Being dependable means

Answers

Answer:

reliable

Explanation:

capable of being trusted or depended on

What is the potential consequence of online impulsive buying?
a.
Better managed monthly budget
b.
Tendency to buy unnecessary goods
C.
Wiser decision making when purchasing
d.
Earned discount vouchers from the store

Answers

Probably B because I impulsively shop online and b is true for me. I’m not 100% sure though.
I’m pretty sure it’s B

____________engineers build and test tools and machines, and they rely heavily on computer, math, and problem-solving skills.

Answers

Answer:Mechanical Engineers

Explanation: Mechanical engineering is an engineering branch that combines engineering physics and mathematics principles with materials science to design, analyze, manufacture, and maintain mechanical systems. It is one of the oldest and broadest of the engineering branches.

Answer:

what they said. they were correct

Explanation:

2. A waterproof joint is made between a sink or lavatory faucet and the fixture with molded
plastic gasket,
, or silicone caulk.
A. plumber's putty
B. a rubber or wax-ring seal
C. construction adhesive
D. latex caulk

Answers

A waterproof joint is typically made between a sink or lavatory faucet and the fixture using plumber's putty, a rubber or wax-ring seal, construction adhesive, or latex caulk

What is a Waterproof joint?

Usually, a watertight connection is established between a sink or bathroom faucet and the fixture by utilizing various materials such as plumber's putty, rubber or wax-ring seal, construction adhesive, or latex caulk.

A popular substance used to form a water-resistant seal at the bottom of a faucet is known as a plumber's putty.

A common method of preventing leaks between the floor flange and the toilet base in toilet installations is by utilizing either a rubber or wax-ring seal.

An enduring adhesive, such as construction adhesive, can establish a robust adhesion between the fixture and the faucet, ensuring a more lasting installation.

Finally, latex caulking is a viable solution for sealing gaps and inhibiting water from seeping into the periphery of the faucet.

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HELP PLS
Is a book a solid, frame, shell or combination and WHY

Answers

A solid because it keeps its shape and definite volume.

A ___tissue is a group of cells that have the same function.

Answers

Answer:

A "functional" tissue is a group of cells that have the same function.

Explanation:

The director of your software product development team has started a new initiative that emphasizes
organizational knowledge sharing. So they purchased licenses for a social group chat platform. They asked
you to keep the platform open to answer questions that are relevant to the product. Why might this be
difficult for your agile team?

Answers

The integration of a novel communication platform into an agile team's existing lifestyle can present several issues.

What are the issues?

To begin, every member may initially require some time to comprehend the new tool as this could reflect on their productivity in the beginning stages. Moreover, introducing another source of information exchange may lead to disarray and confusion due to data overload.

Furthermore, suitable guidelines and tutelage are requisite for guaranteeing optimal operational efficacy when interacting with the platform.

Last but not least, guardianship should be observed to ascertain the platform does not function as a diversion from the group's regular practices, procedures and processes.

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Which of the following statements is true of the process for forming a footing?
A. The inside forms are set up first.
B. The median measurement between high and low points becomes the grade for the footing.
C. The outside forms are set up first.
D. The high point becomes the grade for the footing.

Answers

The correct statement of the process for forming a footing is C. The outside forms are set up first.

What is footing in Building?

The footing is the lowest component of a foundation. Footings are important in construction because they distribute the weight of the structure uniformly throughout the whole structure, preventing it from sinking into the ground.

The foundation is the structure that carries weights from the superstructure to the ground, whereas the footing is the foundation that is in touch with the earth.

A foundation can be shallow or deep, and a footing is a shallow foundation. As a result, all footings are foundations, but not all foundations are footings.

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⚠️I MARK BRIANLIST BEING TIMES ⚠️Match the scenario to the stage of the product development life cycle it represents.
An engineer designs a car engine to use for several different
models
testing the concepts
The description of an electric car battery specifies the amount of
time it takes to recharge
reusing technology
A storyboard details a sequence of scenes or experiences
writing engineering requirements

Answers

Hope this helps you and others

What is the difference in between static electricity and current electricity?

Answers

Answer:

Current electricity is the form of electricity which makes all of our electronic gizmos possible. This form of electricity exists when charges are able to constantly flow. As opposed to static electricity where charges gather and remain at rest, current electricity is dynamic, charges are always on the move.

woodlen :)

How many parts (screws and bolts included) does the average car have?

Answers

Answer:

Explanation:

30,000 parts

A single car has about 30,000 parts, counting every part down to the smallest screws.

The total number of parts (screws and bolts included) of the average car is around 30,000.

What are the basic parts of the car?

The radiator can be described as a heat exchanger used to eliminate heat from the coolant in the cooling system to prevent the vehicle’s engine from overheating. The hot coolant is routed via the radiator, where the coolant exchange heat with the passing air.

The AC Compressor pumps coolant throughout the system and starts the process of the cooling car. The battery saves energy in chemical form so it is released as electricity to run the vehicle’s electrical components.

The front and rear axles are supporting a vehicle where the wheel hubs are attached. Axles are part of the suspension system and are responsible for delivering power to the wheels from the engine via the transmission and differential.

A car’s brakes can be used to stop or slow a vehicle or prevent it from moving when parked or stopped.

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I cover sports events and produce written or broadcast reports on those events,

AI am a Bookmaker
C
I am a Strength and Conditioning coach
I am a Sports Journalist
DI am a PE teacher

Answers

Answer

Sports Journalist

Explanation:

you cover SPORTS making you a SPORTS Journalist

Avionics mechanics, or service technicians, are responsible for which of the following related to aircraft maintenance? (Select all that apply.)


engine

inspecting exterior of plane

landing gear

valves

Answers

Answer:

all of them

Explanation:

Because I had this question. :)

Good luck with you assinment.

Explain the function of a cell wall and name the type of cell that has one ? Worth 50 points plz help need it in less than 30 minutes help plz

Answers

Answer:

The cell wall surrounds the plasma membrane of plant cells and provides tensile strength and protection against mechanical and osmotic stress. It also allows cells to develop turgor pressure, which is the pressure of the cell contents against the cell wall.Hope that helps

Explanation:

the cell wall provides protection and a plant cell has one

According to one government agency, bad housekeeping is estimated to cause what percentage
of all slip, trip and fall injuries?
O 35%
O 40%
O 50%
O 65%
O 80%

Answers

It’s 50 percent 99 percent sure

⚠️I MARK BRAINLIST HELP I AM BEING TIMED-included a pic ⚠️The "Big Dig" in Boston, Massachusetts, redesigned the entire highway system in the city, moving roads underground in many areas. The "Big
Dig" could be considered a low-risk project because of the complex engineering and construction challenges.
True
O False
Next
Sub
Save and Exit
Mark this and return

Answers

The answer to this question is True

Answer:

False

Explanation:

Just took the test (edge 2021)

How did Ronald McNair change the face of science?

Answers

Answer: Through Physics

Explanation:

He changed the world of science through laser physics, he had a phD in science.

What he really did was amazing where he focused on such tasks as the development of lasers for isotope separation and conducted research on electro-optic modulation for satellite space communications.

He was also a astronaut for the 1986 space module Challenger. Sadly, Challenger exploded due a malfunctioning in the tank, it overheated and killed the entire crew along with Mr.Ronald.

Hope this helps and make sure to thank me!

During the production of a mobile phone, the manufacturing company stops the assembly line because it has run out of a particular raw material. What kind of waste is this?
A.
transportation
B.
overproduction
C.
over-processing
D.
motion
E.
waiting

Answers

Answer:

B. or C.

Explanation:

You have to guess one of them. sry

3. The joint between the base of a toilet and the closet flange is sealed with
O A. a molded plastic gasket.
OB. a rubber or wax-ring seal.
O C. plumber's putty.
D. adhesive caulk.

Answers

The joint between the base of a toilet and the closet flange is sealed with a rubber or wax-ring seal. This is plumbing.

Why is this so?

A rubber or wax-ring seal is commonly used to seal the junction between the base of a toilet and the closet flange. A toilet wax ring is another name for this sort of seal.

The wax ring is wrapped around the aperture of the closet flange before the toilet is dropped into it, forming a seal between the toilet's base and the flange.

The wax ring is intended to compress and form a watertight barrier, preventing water and smells from escaping from the toilet's base. Other sealing techniques, such as plumber's putty or adhesive caulk, are not normally suggested since they may not offer a stable and long-lasting seal.

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A____ is a group of cells that have the same function.

Answers

Answer:

Tissue

Explanation:

A group of similar cells which perform a specific function is called a tissue.

Answer:

The Correct answer is a Tissues

Explanation:

Tissue is/are groups of cell having similar structure performing similar task

An electric heater has a power of 1100W. At a rate of 8¢ per kWh, how much does it cost to use the heater 3 hours a day for 30 days?

Answers

It will cost $7.92 to use the electric heater for 3 hours a day for 30 days at a rate of 8¢ per kWh.

To calculate the cost of using the electric heater for 3 hours a day for 30 days, we need to determine the energy consumption in kWh first.

The power of the electric heater is given as 1100W, which means it consumes 1.1 kWh of energy per hour (since 1 kWh = 1000W). Therefore, the energy consumption in 3 hours is 3.3 kWh (1.1 kWh x 3 hours).

Now, we can calculate the total energy consumption for 30 days, which is 99 kWh (3.3 kWh x 30 days).
Using the given rate of 8¢ per kWh, we can calculate the total cost of using the electric heater for 30 days as follows:

Total Cost = Energy Consumption x Rate per kWh

Total Cost = 99 kWh x 8¢

Total Cost = $7.92

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4. When bending PEX, the bend should not be more than
outside diameter of the tube.
A. two
B. six
C. four
O D. eight
times smaller than the

Answers

Answer:b

Explanation:

just took it

The final position of a car can be predicted with the following equation: Position = -2.5 (time) + 25 Where is the car’s position at 3.0 seconds? When would the car reach position 0.0 meters?

Answers

Answer:

The car's position at 3.0 seconds is 17.5 meters. The car will reach 0.0 meters at 10 seconds.

Explanation:

You can rewrite the equation as P= -2.5t+25. t=time and P is equal to position; so you will plug in 3.0 seconds into t. The equation will now look like: P = -2.5(3.0)+25

P = -2.5(3.0) + 25

P = -7.5 + 25

P = 17.5 meters

Now, to find when the car reaches 0.0 meters, we will plug that into P since P = position and will solve for t.

P = -2.5t + 25

0.0 = -2.5t + 25

-25                 -25

-25 = -2.5t

-25/-2.5 = -2.5t/-2.5

10 = t

So the car will reach 0.0 meters at 10 seconds.

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