In real number multiplication, if uv1=uv2 and u does not equal zero we can cancel out u and conclude that v1=v2. Does the same rule hold for the dot product?

Answers

Answer 1

The conclusion v₁=v₂ can not be made. Let u=(1,1,1),v₁=(2,3,-5),v₂=(4,-1,-3). The dot product of u.v₁=uv₂ is satisfied,but v₁≠v₂.The correct answer is c.

What is dot product?

The dot product, also known as the scalar product, is an algebraic operation that yields a single integer from two equal-length sequences of numbers.

The dot product of two vectors' Cartesian coordinates is commonly used in Euclidean geometry.

Because there may be more than the 1 vectors satisfying the expression.

[tex]\rm uv_1 = 1 \times 2 +1 \times 3 +1 \times(-5)=0[/tex]

[tex]\rm uv_2= 4-1-3 =0[/tex]

The v₁ is not found equal to the v₂.

The conclusion v₁=v₂ can not be made. Let u=(1,1,1),v₁=(2,3,-5),v₂=(4,-1,-3). The dot product of u.v₁=uv₂ is satisfied,but v₁≠v₂.The correct answer is c.

Hence, the correct answer is c.

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Related Questions

HCl, HBr and HI are all extremely corrosive acids. They are also all part of the same group the Halogens and completely separate when mixed with water. The only one in the group that doesn’t act as strong acid is HF. What make fluorine different from chlorine, bromine, and iodine?

Answers

Fluorine different from chlorine, bromine, and iodine,because it is the most electronegative and reactive element in the periodic table.

What is a periodic table ?

The periodic table is an organization of all known elements in order of increasing atomic number and repeating chemical characteristics.

They are organized in a tabular format, with a row representing an era and a column representing a group.

Elements are ordered in increasing atomic number order from left to right and top to bottom.

Elements of the same group will have the same valence electron configuration and, as a result, will have comparable chemical characteristics.

Elements in the same period, on the other hand, will have an increasing order of valence electrons. Fluorine,chlorine, bromine, and iodine are halogens.

Hence,fluorine different from chlorine, bromine, and iodine because it is the most electronegative and reactive element in the periodic table.

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Fluorine is most electronegative element and halogen in periodic table

The tendency of attraction towards electrons is highest for Fluorine.

In HF

There is a single bond between H and FThe electronegative nature of Fluorine makes the bond stronger and it's hard for H to get out of bond to give H+ Hence it's a very weak acid .

Of the following approximate conversions of celsius into fahrenheit, which is most accurate? a. 24°c almost-equals 75.9°f b. 2°c almost-equals 35.8°f c. 34°c almost-equals 92.7°f d. 13°c almost-equals 55.0°f

Answers

The most accurate among the options is 13°c almost-equals 55.0°f, when you round down 55.4, you get 55.0

Hence, option D) is the most accurate.

What is Scale of Temperature?

Scale of temperature is simply a method used in calibrating the physical quantity of temperature in metrology.

Conversion of Celsius into Fahrenheit, Formula is expressed as;

Degree = (0 × 9/5) + 32 = Fahrenheit

First we check each option;

A) 24°c almost-equals 75.9°f

24°C = (24 × 9/5) + 32 = 75.2°F

B) 2°C almost-equals 35.8°f

2°C = (2 × 9/5) + 32 = 35.6°F

C) 34°C almost-equals 92.7°f

34°C = (34 × 9/5) + 32 = 93.2°F

D) 13°c almost-equals 55.0°f

13°C = (13 × 9/5) + 32 = 55.4°F

The most accurate among the options is 13°c almost-equals 55.0°f, when you round down 55.4, you get 55.0

Hence, option D) is the most accurate.

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I need help with my homework please?

Answers

Answer:

1c 2d 9e 6n 3j 9i

Explanation:

That is at least half i will let you Finish it

Answer:

1=e

2=g

3=h

4=f

5=j

6=b

Explanation:

.......

What are properties of a wave

Answers

Answer:

amplitude, wavelength, frequency, and speed.

Explanation:

No matter whether you are talking about vibrations or waves, all of them can be characterized by the following four characteristics

If the andromeda galaxy collided with the milky way, what would most likely happen to earth?.

Answers

Answer:

the surface of the earth would've already turned into a very hot liquid water to even exist and there would be no existence of humans on earth

Sonar is a device that uses reflected sound waves to measure underwater depths. If a sonar signal has a wavelength of 5.9 m and the velocity of sound in water is 15 m/s, what is the frequency of the signal?

Answers

The frequency of the signal is = 2.5 Hz

Calculation of frequency

The wavelength of the sonar device = 5.9 m

The velocity of the sound = 15 m/s

The frequency = ?

But the formula for the velocity of sound wave = frequency × wavelength

Male frequency the subject of formula,

f = v/ wavelength

f = 15/5.9

f = 2.5Hz

Therefore, the frequency of the signal is = 2.5Hz

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A pendulum of length 1m and period 2.01s is placed at the top of mount everest having an altitude of 8849m. calculate the value of g at that point

Answers

Answer:

F = K M / R^2      acceleration due to gravity at R

F2 / F1 = (R1 / R2)^2

R1 = radius of earth = 6.37E6 m

R2 = 6.37E6 + 8.85E3 = 6.38E6

F2 / F1 = .9984^2 = .997

The value of g would only be about .003 less than at the surface

An object with a mass of 5.0 kg accelerates 3.0 m/s2 after a force is applied to it. What is the amount
of force acting on the object?

Answers

Answer:

Dont

Explanation:

Know

Spacesuits have different parts, each of which is important for the astronaut’s survival.

Use the same article and answer the question.

Space Suit

On the back of the spacesuit is a backpack called the Primary Life Support Subsystem. Why is this backpack important?

Answers

Answer:

On the back of the spacesuit is a backpack called the Primary Life Support Subsystem. This backpack contains the oxygen that astronauts breathe during a spacewalk. It removes carbon dioxide that astronauts exhale. The backpack also provides electricity for the suit.

Explanation:

got a 100%.

brainliest, please?

Magnetic fields and electric fields are identical in what

Answers

Magnetic fields and electric fields are similar on the basis of the forces and its application.

What is an electric field?

An electric field is an electric property that is connected with any location in space where a charge exists in any form. The electric force per unit charge is another term for an electric field.

Magnetic and electric fields have certain similarities, are as follows;

1. Both the electric force and magnetic forces are the non-contact forces.

2. Both acts between the two entity having certain mass.

3. Both have their respective ranges.

Hence, magnetic fields and electric fields are similar on the basis of the forces and its application.

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Karyn is a zookeeper who takes care of baboons. Each day, Karyn writes down how the baboons eat, play, sleep, and wash. She reviews her notes every week to see if the animals are healthy and content. Which statement explains why Karyn's approach is an investigation instead of an experiment?


She is measuring variables.


She is testing a specific hypothesis.


She is not following the scientific method.


She is not attempting to change outcomes.

Answers

The statement which explains why Karyn's approach is an investigation instead because she is not attempting to change outcomes.

What is Investigation?

This is defined as the systematic study of a subject topic and involves various forms of observation.

It however doesn't involve measuring variable as the outcomes aren't changed but only recorded.

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A current-carrying wire with many loops is called a magnetic field. A wire coil. A solenoid. A bar magnet.

Answers

When current-carrying wire with many loops is connected across the battery, the magnetic field is created in the wire.  A current-carrying wire with many loops is called a Solenoid.

What is current?

The current is the stream of electrons flowing from positive terminal of the battery to the negative terminal so as to generate electricity.

When the current flow through wire is bent into the shape of circle and continued making several loops. This wire form is called Solenoid.

Thus, a current-carrying wire with many loops is called a Solenoid.

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Answer:

C.) A solenoid.

Explanation:

Edge, 2022.

(See the attachment below.)

Between 1992 and today, astronomers using large telescopes have discovered many icy pieces that orbit in the same region as the orbit of Pluto. These are believed to be members of the

Answers

Icy pieces that orbit in the same region as the orbit of Pluto are believed to be members of the Kuiper belt.

What is the Kuiper belt?

The Kuiper belt is a shape-disc formation in the solar system observed from Neptune and more away from our sun.

The Kuiper belt consists of different celestial bodies including among others icy pieces, planets, and comets.

In conclusion, icy pieces that orbit in the same region as the orbit of Pluto are believed to be members of the Kuiper belt.

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100 POINTS NEED ASAP
Determine the energy released per kilogram of fuel used.

Given MeV per reaction, calculate energy in joules per kilogram of reactants.
Consider 1 mole of plutonium-239 to be a mole of “reactions” (molar mass = 239 grams).

Answers

The energy released per kilogram of fuel used is mathematically given as  

energy release per kg= 6.702*10^{-13}. This is further explained below.

What is the energy released per kilogram?

Generally, is simply defined as

Energy used per person per year in US = 3-5 X 10^11

Population (No. of person)= 3.1x 10^8

Mass of feut required = 3.5x10^11 x3-1x10 8 x 10 )/6.703 X10^{13} kg

Mass of feut required = 1.62x10^{33}kg

Solution: Mev in Joule 6 = 10 1.60* I0^{-19} J

1 Mev= 1.602 X 10 T

energy release per kg= 1.602*10^{13}/2.39x10^{-3}

energy release per kg= 6.702*10^{-13}

In conclusion, Energy

energy release per kg= 6.702*10^{-13}

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If an object accelerating at −1.5m/s^2 takes 1.2s to reach 5.0m/s, what was its initial speed?

Answers

-1.5 m/s^2 x 1.2 seconds = -1.8 m/s

It is a negative value which means the object slowed down. The object would have originally been going that amount more.


5.0 + 1.8 = 6.8 m/s


answer: 6.8 m/s

Four different constant forces are exerted on a 2. 0 kg object. The figure represents the magnitude and direction of each force. If the object is initially at rest, how long will it take the object to reach a speed of 2. 0 m/s?.

Answers

Based on the mass of the object, and its acceleration, the time taken to reach a speed of 2.0 m/s is 4 seconds.

How many seconds will the object take to reach the required speed?

The time can be found as:

= Required speed / Acceletation

Accelaration is:

= Force / Mass

= (0.99iN + 0jN) / 2kg

= 0.5 ms⁻²

Time taken is:

= 2 / 0.5

= 4 seconds

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Since the force that axts on the object  is the resultant force, the time taken is 0.8 s.

What is resolution of forces?

Since force is a vector, it can be resolved into its components. From the complete question, the componenets of the force are;

Vertical component;

5N sin 373N sin 9017 N-20NTotal = 3 + 3 + 17 - 20 = 3 N

Horizontal component;

5N cos 373N cos 90Total = 3.99 + 0 = 4

Resultant force = √(3)^2 + (4)^2 = 5N

Now;

F = ma

a = F/m

a = 5N/2. 0 kg

a = 2.5 m/s^2

Given that;

v = u + at

since u = 0 (object started from rest)

2 = 2.5 * t

t = 2/2.5 = 0.8 s

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What are two ways an engineer can build a car in order for it to accelerate faster

Answers

Explanation:

Take F=ma

a = F/m

For a higher, F higher or m lower

Means higher horse power for engine or lower mass for the car

An engineer can make a car to accelerate faster by having higher horsepower for the engine or less mass for the car.

What is an Acceleration?

Acceleration is defined as the rate of change of velocity of an object with respect to time. These are vector quantities because they have both direction and magnitude. The orientation of an object's acceleration is given by the orientation of the net force acting on that object.

Acceleration in a car has everything to do with the torque and horsepower on the car where these two characteristics essentially determine the speed of the vehicle. The higher the torque and horsepower, the faster we go

Acceleration is expressed in terms of Force which is equals to

F=ma (m=mass, a= accelaration)

So, a = F/m

For a higher, F will be higher or m will be lower

Thus, an engineer can make a car to accelerate faster by having higher horsepower for the engine or less mass for the car.

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A ball is hit so that it accelerates at 10 m/s2. The ball hits a glove with a force of 5 N. What is the mass of the ball?

Answers

Answer:

0.5 kg

Explanation:

» Concepts

Newton's second law, the Law of Acceleration, states that F = ma, where F = Force in Newtons, m = mass in kg, and a = acceleration in m/s^2.

» Application

We are asked to find the mass of the ball using the equation F = ma. We're also given the force and acceleration, so the equation looks like 5 = 10(m).

» Solution

Step 1: Divide both sides by 10.

[tex]5/10=10m/10[/tex] [tex]m=0.5[/tex]

Thus, the mass of the ball is 0.5 kg.

physics 4
----------------------------

physics geniuses where r u need help!!!



pls also check other questions!

Answers

The value of the peak power will be 50 W. The peak power is found as two times of the average power. Option C is correct.

What is average power?

Average power is a ratio of total work done by the body to the total time. Its unit is the watt. It is also defined as the rate of total work done by the body.

The given data in the problem is;

Average power = 25 W

Peak power = ?

The peak power is found as;

Peak power = 2 × average power

Peak power=2×25

Peak power = 50 W

Hence, the value of the peak power will be 50 W.

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2
8. Automobile tires are made of rubber infused with carbon and metal wires. Durability aside, why
not make tires out of pure rubber?

Answers

Tires aren't made from pure rubber because it makes the weight higher which increases the engine load.

What is Tyre?

This is defined as a piece of rubber which is attached to the wheels of automobiles for movement.

Pure rubber isn't used to make tyres because it has a higher weight which increases the engine load thereby making the vehicle slower.

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A sound wave travels at 379 m/sec and has a wavelength of 8 meters. Calculate its frequency and period.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Wavelength, Wavespeed and frequency depends on each other in the following way :

[tex]\qquad \sf  \dashrightarrow \: frequency = \dfrac{wave \: \: velocity}{wavelength} [/tex]

[tex]\qquad \sf  \dashrightarrow \: f = \dfrac{389}{8} [/tex]

[tex]\qquad \sf  \dashrightarrow \: f \approx 48.62 \: \: hertz[/tex]

And we know the Reciprocal relationship between frequency and period ~

So, let's find it's period •

[tex] \sf{\qquad \sf  \dashrightarrow \: t = \dfrac{8}{389}} [/tex]

[tex] \sf{\qquad \sf  \dashrightarrow \: t \approx 0.02 sec } [/tex]

Use the table to answer the question.
A
B
formed by oscillating source
formed by vibration of charged particles
requires a medium to transmit energy
can transmit energy through a vacuum
examples include sound waves
examples include light waves
What should column A be titled?
(1 point)
seismic waves
mechanical waves
surface waves
electromagnetic waves

Answers

Answer:

Mechanical Waves

Explanation:

I took the practice

Planet A has a mass of 2.25 x 1020 kg, while planet B has a
mass of 6.20 x 1018 kg. What is the gravitational attraction
between two planets if the distance between them is
435,500 km? Estimate G as 6.67 x 10-11 N (m/kg)

Answers

Answer:

4905.95 N

Explanation:

F= G m1 m2 / (r^2)

  = 6.67 x 10^-11   *  2.25 * 10^20 * 6.2 * 10^10 / ( 435 500 000)^2 =

( be sure to use meters    NOT kilometers !)

The gravitational attraction between two planets is  4905.95 N

What is gravitational attraction?

When two objects with masses are placed at a distance, there will an attractive force acting between them.

According to the Newton's law of gravitation, gravitational force is

F = Gm₁m₂ /r²

where r is the distance between the masses m₁ and m₂ and  G is the gravitational constant G = 6.67 x 10⁻¹¹ N-m²/kg²

Substitute the values into the expression, we get

F =  6.67 x 10⁻¹¹ x  2.25 x 10²⁰ x 6.20 x 10¹⁸ / (435,500 x 1000)²

F= 4905.95 N

Thus, the gravitational attraction between two planets is  4905.95 N.

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A sailboat is moving at a constant velocity is work being done by a net external force

Answers

Answer:

Yes

Explanation:

The wind net force acting on the sail is doing work.   (The 'net' force takes into account the force of friction between the boat hull and the water)

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

sugar dissolves in water = solubility (solvent)

causes ice cubes to get bigger in the ice tray = expand upon freezing

warm water but cold water in the spring = heat capacity/specific heat

"film" on top of water = surface tension

stickiness of water = cohesion

Answer:

See below ~

Explanation:

sugar dissolves in water ⇒ solubility (solvent)

causes ice cubes to get bigger in the ice tray ⇒ expand upon freezing

warm air but cold water in the spring ⇒ heat capacity/specific heat

"film" on top of water ⇒ surface tension

stickiness of water ⇒ cohesion

You find 6.21 g of diamonds. You measure that the diamonds have a volume of 1.77 ml. What is the
density of diamonds, and where would the diamonds fit into your density column?

Answers

Answer:

3.51 g/mL

Explanation:

Density can be found using the equation: density = mass / volume.

In this case, mass is given in grams (g) and volume is given in milliliters (mL).

You can find the density of the diamonds by plugging the given values into the formula and simplifying.

Density = mass (g) / volume (mL)

Density = 6.21 g / 1.77 mL

Density = 3.51 g/mL

Which of the following statements is UNTRUE? In order for an object to float..

The buoyant force must be stronger than the gravitational force
The density of the object must be less than the surrounding fluid
The object must be equally buoyant with the surrounding fluid
The fluids must be more dense than the object

Answers

Answer:

The object must be equally buoyant with the surrounding fluid

is an untrue statement - because the object could not float - it could be anywhere in the fluid

150N
V
nail
0.50 m
wood
pivot
The man applies a force of 150 N at a distance of 0.50m from the pivot.
Calculate the moment of this force about the pivot. Include a unit.

Answers

Moment = force x distance

Force = 150N
Distance = 0.50m

Moment= 150 x 0.50
=75Nm

Create a cylinder with a height of 9 cm and a radius of 5 cm. Notice that the estimated volume calculation is 706. 9 cm3. Drag the orange dot to double the radius. What do you notice about the volume?.

Answers

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h . Simplify.

Answer:

Its D , Its is four times larger

Explanation:

I really hope this helps :)

A 0.200-g ball hangs from a thread in a vertical electric field of 3.00 kN/C directed upward. What is the
charge on the ball if the tension in the thread is (a) zero and (b) 4.00 mN?

Answers

Use the conservation of energy:
mg = Eq
q = mg / E
= ( 0.200* 10 ^ -3 kg ) (9.8 m/s^2 ) / 3000 N /C )
= 0.653 micro C

b)
mg = T + Eq
mg - T = E q
q = T-mg / E
= ( 4 * 10 ^ -3 N ) -( 0.2*10^ -3 kg ) ( 9.8 m/s^2 ) / 3000 N /C
= 1.26 micro C
Tension in the thread is 0, when
Mg = force due to electric field
.200* 10^-3*9.8 =q*3*10^3
Therefore, q= .200*10^-3*9.8/3*10^3
Net tension =4*10^-3N
i.e. mg-qE = 4*10^-3
.200*9.8*10^-3
The ball is in equillibrium if it is under the effect of three forces that is unde the tension of the thread , the pull of gravity on the ball= w=mg= 0.2*10^-3*9.8=1.96*10^-3 N and the coulumb force having charge x which is downward if the ball is positve and upward if the ball is negative. Fc=qE =x*3000N/C.
first case
T-mg-Fc=0 => T=0
mg=Fc
1.96*10^-3=x*3000
x=6.5*10^-7 C charge
second case
T= 4.00mN=4*10^-3 N
4*10^-3 -1.96*10^-3- x*3000=0
x=6.08*10^-7C
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