what is the dot product and cross product of of two vectors if the angle is between them is 90 degree?
[tex]\sf{\pink{\underline{\underline{\blue{GIVEN:-}}}}}[/tex]
The angle between the two vectors is 90° .[tex]\sf{\pink{\underline{\underline{\blue{TO\: FIND:-}}}}}[/tex]
The dot product of two vectors .The cross product of two vectors .[tex]\sf{\pink{\underline{\underline{\blue{SOLUTION:-}}}}}[/tex]
⚡ Let [tex]\rm{\vec{a}}[/tex] and [tex]\rm{\vec{b}}[/tex] are the two vectors .
✍️ We have know that,
[tex]\orange\bigstar\:\rm{\pink{\boxed{\green{\vec{a}\:.\:\vec{b}\:=\:ab\cos{\theta}\:}}}}[/tex]
Where,
θ = 90°[tex]\rm{\implies\:\vec{a}\:.\:\vec{b}\:=\:ab\cos{90^{\degree}}\:}[/tex]
cos 90° = 0[tex]\rm{\implies\:\vec{a}\:.\:\vec{b}\:=\:ab\times{0}\:}[/tex]
[tex]\rm{\implies\:\vec{a}\:.\:\vec{b}\:=\:0\:}[/tex]
[tex]\rm{\red{\therefore}}[/tex] [1] The dot product of two vectors is “ 0 ” .
✍️ We have know that,
[tex]\orange\bigstar\:\rm{\pink{\boxed{\green{\vec{a}\:\times\:\vec{b}\:=\:ab\sin{\theta}\:}}}}[/tex]
Where,
θ = 90°[tex]\rm{\implies\:\vec{a}\:\times\:\vec{b}\:=\:ab\sin{90^{\degree}}\:}[/tex]
sin 90° = 1[tex]\rm{\implies\:\vec{a}\:\times\:\vec{b}\:=\:ab\times{1}\:}[/tex]
[tex]\rm{\implies\:\vec{a}\:\times\:\vec{b}\:=\:ab\:}[/tex]
[tex]\rm{\red{\therefore}}[/tex] [2] The cross product of two vectors is “ ab ” .
the dot and cross product will become zero if the angle becomes 90°
hope it helps you...
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Which of the following is true of the structures labeled A in the cell membrane?
Choose 1 answer:
(Choice A) A They are membrane proteins.
(Choice B) B They are entirely hydrophobic.
(Choice C) C They are phospholipids.
(Choice D) D They are carbohydrates.
Answer: a, they are membrane proteins
Explanation:
Awnser A is the correct awnser
katie measured the distance her friend morgan ran on a straight track every 2s. her measurements are recorded in the table below. what was morgan’s average speed? what was her acceleration for the entire trip?
Answer:
The average speed of her is 2 m/s.
The acceleration for the entire trip is 0.2 m/s²
Explanation:
Given that,
katie measured the distance her friend morgan ran on a straight track every 2s.
According to given chart,
We need to calculate the average speed
Using formula of average speed
[tex]v_{avg}=\dfrac{D}{T}[/tex]
Where, D = total distance
T = total time
Put the value into the formula
[tex]v_{avg}=\dfrac{20}{10}[/tex]
[tex]v_{avg}=2\ m/s[/tex]
We need to calculate the acceleration for the entire trip
Using equation of motion
[tex]v=u+at[/tex]
[tex]2=0+a\times10[/tex]
[tex]a=\dfrac{2}{10}[/tex]
[tex]a=0.2\ m/s^2[/tex]
Hence, The average speed of her is 2 m/s.
The acceleration for the entire trip is 0.2 m/s²
Describe the abiotic factors that are essential for your organism to survive
Answer:
Abiotic factors include water, sunlight, oxygen, soil and temperature. Water (H²0) is a very important abiotic factor - it is often said that "water is life." All living organisms need water. Plants must have water to grow.... Without the sun, plants could not live, and without plants, animals could not live!
Explanation:
*Hope this helps*
Which is one piece of information that astronomers use to calculate the age of the universe?
Answer:
the age of the oldest stars patterns of background radiation how fast distant galaxies are moving away from usExplanation:
According to the NASA, astronomers can estimate how old the universe is by comparing the age of the oldest stars and the rate of expansion of the universe. The rate of expansion of the universe is based on the Big Bang theory and it states that our universe is continuously expanding since it first developed. Astronomers measure Cosmic Microwave Background radiation resulting from the Big Bang.
Answer:
Patterns of background radiation
Explanation: well astronomy states that they are able to tell by the radiation gaps
What is an example of a concentric contraction
Answer:
an example is a bicep curl
Explanation:
A concentric contraction is a type of muscle activation that causes tension on your muscle as it shortens. As your muscle shortens, it generates enough force to move an object.
Mad scientists looked at the growth of claw size in mutant lobsters due to drinking different amounts of seawater contaminated with Pepsi. Independent Variable: Dependent Variable: Controlled Variable:
Answer:
Dependent Variable: growth of claw size in mutant lobsters
Independent variable: different amounts of seawater contaminated with Pepsi
Controlled variable: Mutant Lobsters
Explanation:
A dependent variable is one that depends on another factor to get it's result.
An independent variable is one that doesn't rely on another factor/variable to derive it's result.
A controlled variable is one which is constant and remains unchanged throughout the course of the experiment/investigation. Which means it verifies the behavior between the dependent and independent variables.
Now, in the question, the growth of claw size in the mutant lobsters depends on the different amounts of seawater contaminated with Pepsi.
Thus growth of claw size in mutant lobsters is a dependent variable while different amounts of seawater contaminated with Pepsi is an independent variable.
The mutant lobsters would be used throughout the investigation to know the relationship between the dependent and independent variable and wouldn't be changed. Thus, they are controlled variable.
It takes a person 22 seconds to swim in a straight line from the south end of the pool to the north end of the pool a distance of 28 meters. What is the swimmers velocity? A. 0.8 m/s south b. 1.3 m/s north C. 1.3 m/s north D. 0.8 me north
Answer:1.3 m/s north
Explanation:
just did it on apex
what is meant by pressure?write its unit.
Answer:
Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed
Unit: Pascal (Pa)
1Pa = 1N/m^2
In terms of matter and resources, Earth is essentially a(n) ________ system ; in terms of energy, Earth is a(n) ________ system.
Answer:
b
Explanation:
Use the motion map to answer the question, describe the position and velocity of the object based moo the motion map?
A 300 g walking stick is placed on a pivot and balanced by a 100 g mass, as shown in
Figure 5.20. Calculate the distance of the centre of gravity of the stick from the pivot.
Answer:
Purplemath
The first term in the binomial is "x2", the second term in "3", and the power n is 6, so, counting ... x12 + 18x10 + 135x8 + 540x6 + 1215x4 + 1458x2 + 729 ... So memorize the Theorem and get the easy points.
Answer:
the distance of the center of gravity of the stick from
Δ = 5 cm to make it equilibrium or balance.
Explanation:
100 g
______Π___________________________________)
|<--- 15-----Δ--- x--->|
weight of stick (w) = 300 g acting on center with x distance from support Δ.
to get the x distance to make stick and a block balance, take moment from support.
ΣM at Δ = 0
0 = 100 (15) - 300(x)
0 = 1500 - 300x
300x = 1500
x = 1500 / 300
x = 5
therefore, the distance of the center of gravity of the stick from Δ = 5 cm
to make it equilibrium or balance.
What happens to the charged electroscope when a conductor is moved between its plastic sheets, and why?
Answer: Please find the answer in the explanation
Explanation:
The question goes thus :
What happens to the charged electroscope when a conductor is moved between its plastic sheets, and why?
When a conductor is moved between its plastic sheets of a charged electroscope, the divergence between the brass plate and the gold leaf will decrease.
And why ?
Because of the unlike charges or neutral uncharged charges between the conductor and the plastic Sheets.
A stone falls freely from rest for 8.0 s.
a. Calculate the stone's velocity after 8.0 s.
b. What is the stone's displacement during
this time?
a) The acceleration that the stone has is the gravitational acceleration and it is always the same (Actually not but assumed to be so)
The gravitational acceleration is 9.81 m/s²
Since this acceleration is always constant, we can use the formula of V = g × t, where V is velocity, g is the gravitational acceleration and t is time.
Let's use this formula: V = g × t = 9.81 × 8.0 = 78.48 m/s
b) Displacement in free falls is calculated by the formula of d = 1/2 × g × t², which is actually derivated from average velocity.
If we use the formula, d = 1/2 × 9.81 × 8² = is found to be 313.92 m
If there is anything you do not understand or anything is wrong, please let me know and I am sorry for my bad English ^^
two teams are playing tug of war. Team A pulls to the right with a force of 450 N. Team B pulls to the left with a force of 415 N
Answer:
team A - team B = 450 N - 415 N
= 35 N
Explanation:
net force on the rope is 35 N and the direction is towards A.since the two teams are pulling away from each other with the given forces, the net force can be calculated by subtracting the forces.
The net force on the rope is 35N in right direction
What is Net Force? The net force is the vector sum of forces acting on an object,How to calculate the Net force?The force applied by Team A is 450N to the right (Given)The force applied by Team B is 415 N to the left (Given)We need to find the Net force applied on the rope and the directionAs We know that ,
[tex]F_{net} = F_1+F_2[/tex]
Now as The direction of the Team A is right so the Force applied will be positive, that is 450N
Simultaneously , The direction of Team B is left so the Force applied will be negative , that is -415N
Here,
F1 = 450N
F2 = -415N
[tex]F_{net} = F_1+F_2[/tex]
= 450+ (-415N)
= 450-415
=35N
Hence the net force applied is 35N and as the net force is positive the direction will be right
Learn more about Net force here
https://brainly.com/question/11556949
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what acceleration of a 45 kg mass pushed with 15 N of force?
Explanation:
Fnet = ma.
Assume that there is no resistance acting on the mass. Therefore a = 15N / 45kg = 0.33N/kg or 0.33m/s^2.
6
Question 2 (1 poin)
A rocket traveling at 39.09 m/s is accelerated uniformly to 99.03 m/s over a 22.82 s
interval. What is its displacement during this time
Answer: a
Explanation:
what oversimplified assumption does the graph make about number of types of products the society produces?
Answer:
CAN'T UNDERSTAND YOUR QUERY
Explanation:
What is your qurey. plz explain properly.
What is the number at the end of an isotope’s name?
Explanation:
The liquid contains only one element. -The liquid is a pure substance. The number at the end of an isotope's name is the -mass number. While looking at xenon (Xe) on the periodic table, a student needs to find an element with a smaller atomic mass in the same group.
Which are characteristics of refraction
Answer:
When light travels from one medium to another, the frequency of light does not change. However, the velocity and wavelength change.
Explanation:
Pls mark me as brainliest
What is the best use of an atomic model to explain the charge of the particles in Thomason beans
True or False: Translations are rigid transformations.
Answer:
Explanation:
Yes, translations are rigid transformations. You can verify that the distances between the points are preserved.
Answer:
True
Explanation:
In translation, all points of the figure move the same distance and in the same direction. The shape and size of the image remains the same as the preimage
differences differences between gravity and acceleration due to gravity
Look at this table. Accleration of gravity means gravitational constant.
Marissa is an extremely curious sixth grader. During a snow day she looked out her window and saw a truck spreading something all over the road. After the truck went past Marissa's house, she had a snack, put on her snow boots, hat, coat and gloves and went outside to play. She walked over to the edge of her driveway and observed salt all over the roadway, but not the sidewalks or her driveway. She also observed some of the snow and ice had melted off the roadway but not her driveway or sidewalks. She wondered if the ice and snow melting was due to the salt?
Answer:yes
Explanation:
ice melter because it causes freezing point depression.This means that salt helps in lowering the freezing point.
any push or pull on an object is called (n)
Answer: Any push/pull on any object is made by a force of some sort.
Explanation:
Jennifer, who has a mass of 50.0 kg, is riding at 35.0 m/s in her red sports car when she must suddenly slam on the brakes to avoid hitting a deer crossing the road. She strikes the air bag, that brings her body to a stop in 0.500 s. What average force does the seat belt exert on her
Answer:
Average force = 3.5 kN
Explanation:
Given:
Mass of Jennifer (m) = 50 kg
Initial velocity = 35 m/s
Time taken to stop body = 0.5 s
Find:
Average force
Computation:
v = u + at
0 = 35 + a(0.5)
Acceleration (a) = - 70 m/s² = 70 m/s²
Average force = ma
Average force = (50(70)
Average force = 3500 N
Average force = 3.5 kN
Write a explanation explaining why red is a beautiful color is not a hypothesis
Answer:
Please find the explanation below
Explanation:
A hypothesis in science is a testable explanation that is yet to be tested via experimentation. It is a predictive statement or suggested solution to an observation. A hypothesis aims at finding a possible explanation/answer to a question, which is subject to testing. One important aspect of formulating a hypothesis is that it tends to connect the independent variable with the dependent/measurable variable.
The statement "RED IS A BEAUTIFUL COLOR" cannot be considered a hypothesis because it does not aim to answer a question that can undergo experimental testing. This statement can not be measured via experimentation. The statement is not a possible answer to a question but rather a personal opinion about something.
A billiard ball moves with 3 kg⋅m/s of momentum and strikes three other billiard balls. What is the total momentum of the balls after the collision?
(1 point)
more than 3 kg⋅m/s
3 kg⋅m/s
It depends on the mass of each ball.
less than 3 kg⋅m/s
A billiard ball moves with 3 kg⋅m/s of momentum and strikes three other billiard balls that have been just sitting there at rest and not moving.
The total momentum of all four balls after the collision is 3 kg⋅m/s, because momentum is not created or destroyed. The total amount of it after an event is the same as the total amount of it before the event.
The momentum of the billiard balls after the collision is 3 Kgm/s.
Let the billiard ball be B.Given the following data:
Momentum B = 3 Kgm/sTo find the momentum of the balls after the collision:
Momentum is simply a multiplication (product) of the mass of an object with its velocity. Also, momentum is a vector quantity because it has both magnitude and direction.
Mathematically, momentum is given by the formula;
[tex]Momentum = Mass[/tex] × [tex]Velocity[/tex]
[tex]Total \; momentum = Momentum \; B + Momentum \;of \;the \;other\; balls.[/tex]
Since the other billiard balls were at rest (not experience any motion), there velocities would be zero (0) m/s.
Substituting the given values, we have:
[tex]Total \; Momentum = 3 + 0[/tex]
Total momentum = 3 Kgm/s.
Therefore, the momentum of the billiard balls after the collision is 3 Kgm/s.
Find more information: https://brainly.com/question/3556616
How many nanoCoulombs are there in a milliCoulomb
Answer:
1 millicoulomb = 1000000 nanocoulombs.
Explanation:
The SI unit for electric charge is Coulomb.
1 coulomb = 1000000000 nC (nanocoulombs)
1 coulomb = 1000 mC (millicoulombs)
The value of atmospheric pressure at sea level
Answer:101.325 kilopascals
Explanation: