1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kykrilka [37]
2 years ago
15

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 r

ule hold for the dot product?
Physics
1 answer:
Leya [2.2K]2 years ago
6 0

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.

<h3>What is dot product?</h3>

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.

\rm uv_1  = 1 \times 2 +1 \times 3 +1 \times(-5)=0

\rm uv_2= 4-1-3 =0

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.

To learn more about the dot product, refer to the link;

brainly.com/question/26550859

#SPJ4

You might be interested in
Elliot jumps up and down on a pogo stick. He weighs 600.N, and his pogo stick has a spring with spring constant 1100N/m. What is
tia_tia [17]

From conservation of energy, the height he will reach when he has gravitational potential energy 250J is 0.42 meters approximately

The given weight of Elliot is 600 N

From conservation of energy, the total mechanical energy of Elliot must have been converted to elastic potential energy. Then, the elastic potential energy from the spring was later converted to maximum potential energy P.E of Elliot.

P.E = mgh

where mg = Weight = 600

To find the height Elliot will reach, substitute all necessary parameters into the equation above.

250 = 600h

Make h the subject of the formula

h = 250/600

h = 0.4167 meters

Therefore, the height he will reach when he has gravitational potential energy 250J is 0.42 meters approximately

Learn more about energy here: brainly.com/question/24116470

4 0
2 years ago
You are holding a finishing sander with your right hand. THe sander has a flywheel which spins counterclockwise as seen from beh
ryzh [129]

Answer:

c. turn downward

Explanation:

From the information given:

To find the tendency of the sander;

We need to apply the right-hand rule torque; whereby we consider the direction of the flywheel, the direction at which the torque is acting, and the movement of the sander toward the right.

Since the flywheel of the sander is in counterclockwise movement, hence the torque direction will be outward placing on the wall. However, provided that the movement of the sander is toward the right, then there exists an opposite force that turns downward which showcases the tendency in the sander is downward.

3 0
3 years ago
When air resistance is ignored, _____ of the projectile affect(s) the range and maximum height of the projectile.
FromTheMoon [43]

When air resistance is ignored, initial velocity of the projectile affect the range and maximum height of the projectile.

Projectile is a missile designed to be fired from a rocket or gun.

A projectile is the object that is propelled by the application of an external force and then moves freely under the influence of gravity and air resistance.

The range is defined as the distance between the launch point and the point where the projectile hits the ground.

The height from the ground at the top most position of projectile is referred to as maximum height.

When air resistance is ignored, initial velocity of the projectile affect the range and maximum height of the projectile.

Learn more about maximum height click here brainly.com/question/6261898

#SPJ4

8 0
1 year ago
An astronaut, of total mass 86.0 kg including her suit, stands on a spherical satellite of mass 360 kg, both at rest relative a
Afina-wow [57]

Answer: 0.56 m/s

Explanation:

Hi, to answer this question we have to apply the formula of the conservation of momentum.

m1 v1 = m2 v2 (because the system is stationary at the beginning)

Where:

m1 = mass of the astronaut

v1= velocity of the astronaut

m2= mass of the satellite

v2= velocity of the satellite

Replacing with the values given and solving:

86 kg (2.35m/s) = 360 kg v2

202.1 kgm/s=360kg v2

202.1kgm/s /360kg =v2

v2 = 0.56 m/s

Feel free to ask for more if needed or if you did not understand something.

5 0
3 years ago
When ultraviolet light with a wavelength of 400 nm falls on a certain metal surface, the maximum kinetic energy of the emitted p
jarptica [38.1K]

Answer:

1.76 eV

Explanation:

Maximum kinetic energy of the emitted photo electrons = energy of the photon- work function of the metal

K.E' = (hc/λ)-∅.................. Equation 1

Where K.E' = maximum kinetic energy of the emitted photo electrons, h = Planck's constant, c = speed, λ = wave length, ∅ = work function of the metal.

make ∅ the subject of the equation

∅ = (hc/λ)-K.E'.................. Equation 2

Given: h = 6.63×10⁻³⁴ J.s, c = 3×10⁸ m/s, λ = 400 nm = 400×10⁻⁹ m, K.E' = 1.1 eV = 1.1(1.602×10⁻¹⁹) J = 1.7622×10⁻¹⁹ J

Substitute into equation 2

∅ = [6.63×10⁻³⁴(3×10⁸)/400×10⁻⁹ ]-1.7622×10⁻¹⁹

∅ = (4.973×10⁻¹⁹)-(1.7622×10⁻¹⁹)

∅ = 3.21×10⁻¹⁹ J.

The maximum kinetic energy of the photo electrons when the wave length is 330 nm is

K.E' = [6.63×10⁻³⁴( 3×10⁸ )/330×10⁻⁹]-(3.21×10⁻¹⁹)

K.E' = (6.03×10⁻¹⁹)-(3.21×10⁻¹⁹)

K.E' = 2.82×10⁻¹⁹ J

K.E' = 2.82×10⁻¹⁹/1.602×10⁻¹⁹

K.E' = 1.76 eV

7 0
3 years ago
Other questions:
  • I need help with 6a, 6b, and 6c !!
    8·1 answer
  • Two identical cars collide head on. Each car is traveling at 100 km/h. The impact force on each car is the same as hitting a sol
    13·1 answer
  • Please help me with questions 1, 2 and 3. <br> i need a step by step explanation
    10·1 answer
  • Two objects collide and bounce apart. Assuming no outside forces act on the system, which best describes the total momentum afte
    6·2 answers
  • A poster is 0.95m high and 1.0m wide how many digits follow the decimal point when the perimeter of the poster is expressed with
    6·1 answer
  • An endothermic reaction is defined as a reaction that _____.
    13·2 answers
  • Figure 2 shows the junction of three wires, F, G and H, in a circuit. The current in wire F is 6.0A.
    5·1 answer
  • Consider a wave along the length of a stretched slinky toy, where the distance between coils increases and decreases. What type
    14·2 answers
  • Which type of graph would be best for showing the percentage of people in a
    11·2 answers
  • The weight of the windsurfer is 700 newtons. Calculate the moment exerted by the windsurfer on the sailboat ​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!