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
On a flat surface, a moving bicycle has _____ energy than a stationary car. A. less kinetic B. more kinetic C. less potential D.
Marina86 [1]
On a flat surface a moving bicycle has more kinetic energy than a stationary car
3 0
3 years ago
Read 2 more answers
Air enters a turbine operating at steady state with a pressure of 75 Ibf/in.^2, a temperature of 800º R and velocity of 400 ft/s
Arturiano [62]

Answer:

(a) W/m = 49.334 Btu/lb

(b) \frac{E_{d} }{m} = 22.12 Btu/lb

Explanation:

For the given problem, it can be assumed that the system is operating at steady state and the effects of potential energy can be neglected.

(a) Using the thermodynamic table for air.

At the temperature (T_{1})of 800 ºR and pressure (P_{1}) of 75 Ibf/in.^2, we can deduce that:

Specific enthalpy (h_{1}) = 191.81 BTu/lb

Specific entropy (s_{1}) = 0.6956 Btu/(lb.ºR)

At the temperature (T_{2})of 600 ºR and pressure (P_{2}) of 15 Ibf/in.^2, we can deduce that:

Specific enthalpy (h_{2}) = 143.47 BTu/lb

Specific entropy (s_{2}) = 0.6261 Btu/(lb.ºR)

The work done can be calculated using energy rate equation:

\frac{W}{m} = \frac{Q}{m} + (h_{1} - h_{2}) + \frac{V_{1}^{2} - V_{2}^{2}}{2}

Q/m = heat transfer = -2 Btu/lb

V_{1} = 400 ft/s

V_{2} = 100 ft/s

\frac{W}{m} = -2 + (191.81 - 143.47) + \frac{400^{2} - 100^{2}}{2}*[tex]\frac{1}{2*32.2*778}[/tex] = -2 + 48.34 + 29.938 = 49.334 Btu/lb

(b) To calculate the exergy destruction, we will use the equation for exergy rate:

\frac{E_{d} }{m} = [1-\frac{T_{o} }{T_{b} }](\frac{Q}{m}) - \frac{W}{m} + [(h_{1} - h_{2}) -T_{o}(s_{1} - s_{2}) + \frac{V^{2} _{1} - V_{2} ^{2}}{2}]

The equation above is further simplified to:

\frac{Ed}{m} = T_{o}[(s_{2} -s_{1}) - Rln\frac{P_{2} }{P_{1} } - \frac{Q/m}{T_{b} }]

Using a reference temperature (To) = 500 °R

Average surface temperature (Tb = 620°R

\frac{Ed}{m} = 500*[(0.6261 -0.6956) - (1.986/28.97)ln\frac{15 }{75 } - \frac{-2}{620}}]

\frac{E_{d} }{m} = 500*[-0.0695 +0.068688*1.609 +0.003225] = 22.12 Btu/lb

5 0
3 years ago
explain how metamorphic rocks are formed, and explain the differences between regional and contact metamorphism?
Igoryamba
Metamorphic rocks form when pre-existing or parent rocks (whether igneous, sedimentary, or even metamorphic) are altered by heat, pressure, and the chemical activity of fluids. When the dominant altering factor is heat, usually  from direct contact , it may undergo fundamental change  in texture and recrystallization is called contact metamorphism. While regional metamorphism,  where rocks texture and minerals are changed by heat and pressure.
5 0
3 years ago
Why do you think there are so many more autotrophs than consumers on Earth?<br> Helppp
goldfiish [28.3K]

There are many Autotrophs than consumers because : Autotrophs are the bases of any food chain/web

<h3>Function of Autotrophs </h3>

Autotrophs capture the energy required for every food chain or web from which sustains other organisms in the food chain form sunlight and chemicals. Also there is always more biomass present in the lower levels of the trophic system as biomass decreases as we move up the food chain.

Since autotrophs are producers, for a healthy food chain there would be more autotrophs than consumers.

Hence we can conclude that There are many Autotrophs than consumers because : Autotrophs are the bases of any food chain/web

Learn more about Autotrophs : brainly.com/question/10253663

#SPJ1

3 0
2 years ago
An object's true weight is 123 N. When it is completely submerged in water, its
SashulF [63]

Object true weight is given as

mg = 123 N

now we know that g = 9.8 m/s^2

m* 9.8 = 123

m = \frac{123}{9.8} = 12.55 kg

now when it is complete submerged in water its apparent weight is given as 82 N

apparent weight = weight - buoyancy force

apparent weight = 82 N

weight = 123 N

now we have

82 = 123 - buoyancy force

buoyancy force = 123 - 82 = 41 N

now we also know that buoyancy force is given as

F_b = p_{liq}Vg

41 = 1000*V*9.8

V = \frac{41}{1000*9.8}

V = 4.18 * 10^{-3} m^3

now as we know that mass of the object is 12.55 kg

its volume is 4.18 * 10^-3 m^3

now we know that density will be given as mass per unit volume

density = \frac{m}{V}

density = \frac{12.55}{4.18*10^{-3}

density = 3002.4 kg/m^3

so here density of object is 3002.4 kg/m^3

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which of these characteristics did all of the five waves of immigrants have in common A. They all had the same political beliefs
    6·1 answer
  • A small sphere attached to a light rigid rod rotates about an axis perpendicular to and fixed to the other end of the rod. relat
    14·1 answer
  • SOME PLEASE HELP ME RN IS AN EMERGENCY
    7·1 answer
  • In the system illustrated by the diagram, the magnetic field is increasing. In which
    10·1 answer
  • The angular momentum of an electron in each of its orbits must be some multiple of:
    5·1 answer
  • What's the value of 1,152 Btu in joules? A. 1,964,445 J B. 2,485,664 J C. 987,875 J D. 1,215,360 J
    10·2 answers
  • Drag each label to the correct location. Sort the sentences based on whether they describe the properties of a heterogeneous or
    9·1 answer
  • An object is moving in a circle. If the radius of the object is doubled, and the period remains constant, the magnitude of the v
    13·1 answer
  • Does static electricity attract dead skin cells
    15·1 answer
  • How much water makes up earth in percentages? thx?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!