Determine whether the vectors u and v are parallel, orthogonal, or neither.
u = <2,-4>, v = <6,3> (5 points)

Answers

Answer 1
Answer:  orthogonal

===========================================================

Explanation:

For any two vectors defined as follows

u = <a,b>

v = <c,d>

the dot product is computed by

u dot v = a*c + b*d

If the dot product of the vectors is 0, then the vectors are orthogonal. Meaning they are perpendicular to one another.

-------------------

Let's find the dot product of these two given vectors

u = < 2, -4 >

v = < 6, 3 >

u dot v = 2*6 + (-4)*3

u dot v = 12 - 12

u dot v = 0

Therefore, these two vectors form a right angle and are orthogonal

-------------------

Extra info:

If we can show that u = <a, b> and v = <ka, kb> for some real number k, then we have shown that vectors u and v are parallel.


Related Questions

PLEASE HELP MEEE!! AND DONT PUT THESE LIKE TINY.URL THINGS

Answers

Answer:  20 square units

=======================================================

Work Shown:

A = h*(b1+b2)/2  .... area of trapezoid formula

A = 4*(7+3)/2

A = 4*(10)/2

A = 40/2

A = 20 square units

-----------

notes:

The bases b1 and b2 are parallel to one another.b1 = 7 is the longer horizontal base at the bottom. It spans from x = 1 to x = 8, so it's 8-1 = 7 units long.b2 = 3 is the shorter horizontal base up top. It spans from x = 2 to x = 5, so it's a distance of 3 units.h = 4 is the height. We can count out 4 spaces when going one base to the other, or we can note that the y coordinates subtract to 4 (ie 5-1 = 4)The base and height are always perpendicular to one another.As an alternative way to solve, you can break the figure into 2 triangles and a rectangle in between. Find the area of each piece, and then add those areas up to get the final answer.

What is the length of u and v in this 30-60-90 triangle

Answers

Answer:

option 2

Step-by-step explanation:

Using trigonometric ratio:

[tex]Cos \ 60 = \frac{adjacent } {hypotenuse} \\\\\frac{1}{2} = \frac{4}{u}\\\\1 \times u = 2 \times 4 \\\\u = 8[/tex]

Now using Pythagoras theorem we will find v

[tex]8^2 = 4^2 + v^2\\\\64 = 16 + v^2\\\\v^2 = 64 - 16 \\\\v = \sqrt{48} = \sqrt{16 \times 3} = \sqrt{4^2 \times 3 } = 4\sqrt{3}[/tex]

By using trigonometric relations, we will see that v = 4*√3 and u = 8

How to get the missing lengths?

Here we have a right triangle, we can use trigonometric relations to find the missing sides.

We can see that v is the opposite cathetus of the 60° angle, then we can use the relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Replacing what we know, we get:

tan(60°) = v/4

4*tan(60°) = v = 4*√3

To get the value of u, we use:

cos(a) = (adjacent cathetus)/(hypotenuse).

cos(60°) = 4/u

u = 4/cos(60°) = 2*4 = 8

Then we have:

v = 4*√3

u = 8

If you want to learn more about triangles, you can read:

https://brainly.com/question/17972372

What is the image of N for a 288° counterclockwise rotation about the center of the regular pentagon?T A P E

Answers

9514 1404 393

Answer:

 T

Step-by-step explanation:

The figure has 5-fold rotational symmetry, so each 72° of CCW rotation will bring point N to the next vertex in the CCW direction. Rotation of 288° will move point N 4 vertices CCW, equivalent to 1 vertex in the CW direction. Either way, that point is now occupied by point T.

  N' ≅ T

Know how to rearrange formulae Question 1: Make y the subject of each of the following
(a) y + w = c
(b) y- p = m
C) m + y = s
(d) y - 2g = n
(e) 3y = c
(f) ay = w
(g) y/c =w
(h) y/a= 2c
(i) a = y + p

Someone please help me.​

Answers

Answer:

y=c - w

y=m+p

y=n+2g

y=c/3

y=w/a

y=w×c

y=2c×a

y=a-p

Step-by-step explanation:

crossing the equality sign

- = +

+ = -

× = ÷

÷ = ×

hope this would help

The quotient of 9/10

Answers

Answer:

0.9 is the correct answer

find The derivative of:(cosx/1+sinx)^3​

Answers

Answer:

[tex]-\frac{3 \cdot cos^2x}{(1+sinx)^3}[/tex]

Step-by-step explanation:

[tex]y = (\frac{cosx}{1+sinx})^3\\\\\frac{dy}{dx} = 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{dy}{dx}(\frac{cosx}{1+sinx})[/tex]                        [tex][ y = x^n\ \ \ => \ \ \ \frac{dy}{dx} = b \cdot x^{n-1} \ ][/tex]

    [tex]= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{(1+sin x(-sinx) - cosx(cosx)}{(1+sinx)^2}\\\\[/tex]     [tex][\ \frac{u}{v} = \frac{v \dcot u'- u \cdot v'}{v^2}\ ][/tex]

    [tex]= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-sin^2x- cos^2x}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x- (sin^2x+ cos^2x)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-1}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1 \cdot(sin x+1)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1}{(1+sinx)}\\\\[/tex]

   [tex]= -3 \cdot \frac{cos^2x}{(1+sinx)^3}[/tex]

   

4. Dakota earned $30 in simple interest after 5 years. The interest rate was 4%

Answers

Answer:

The final balance is $36.5.

The total compound interest is $6.5.

Step-by-step explanation:

Find the upper 20%of the weight?

Answers

Answer:

The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Upper 20% of weights:

The upper 20% of the weighs are weighs of at least X, which is found when Z has a p-value of 0.8. So X when Z = 0.84. Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.84 = \frac{X - \mu}{\sigma}[/tex]

[tex]X = 0.84\sigma + \mu[/tex]

The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.

I'm having trouble grasping this one

Answers

Answer:

- 50

Step-by-step explanation:

Given the equation :

2x³ - z

x = - 3 ; z = - 4

Substituting the values into the equation :

2(-3)³ - (-4)

-3³ = - 27

Hence,

2(-27) - (-4)

-54 + 4

= -50

2x³ - z at x = - 3 and z = - 4 is - 50

Find the y- intercept and x-intercept of the line.

4x-y=8

Answers

Answer:

x-intercept is (2,0)

y-intercept is (0,-8)

Step-by-step explanation:

to find the 'x-intercept', substitute zero for 'y' and solve:

4x - 0 = 8

4x = 8

x = 2;  x-intercept is (2,0)

4(0) - y = 8

0 - y = 8

y = -8; y-intercept is (0,-8)

PLS I REALLY NEED HELP

Answers

Answer:

i dont know this sorry

Step-by-step explanation:

need help with these table

Answers

Tens: 73,650
Hundreds: 73,700
Thousands: 74,000

How many multiples of 9 are between 100,000 and 100,185?

Answers

Answer:

20

Step-by-step explanation:

After 99,999 is 100,008 So start from there

100,008 1

100,017 2

Ten 9's later...

100,107 12

Eight 9's later...

100.179

Ther are 20

Roman numeral for 67​

Answers

Answer:

LXVII

Step-by-step explanation:

The roman numeral for 67 is LXVII

LX represents 60 and VII represents 7

Answer :

LXVII

LX=60 and VII=7

A jogger travelled 52km in 4 days.what is the rate he travelled per day?

Answers

52km multiply by 4(days)=208

The jackals howled loudly in the forest change in to interrogative ​

Answers

Answer:

did, the jackles howled loudly in the forest ?

Identify the location of the point (0, -3).

Answers

Answer:

Point p

Step-by-step explanation

The first number in your point is on the x axis, but since it's 0 you don't move anywhere.  

The second number in your point is on the y axis, it's -3, so you move down on the y axis 3 times.

When the x axis(first number) is negative you move left, and if the y axis(second number is negative you move down), and vise versa.

point P is where (0, -3) is

Which is the equation of the line that is parallel to the given line and has an X -intercept of -3

Answers

Answer:

Answer:Uh oh! It looks like your question is missing some crucial information.

Step-by-step explanation:

You didn't include the"given line"

What is the distance between -5 and 4

Answers

Answer:

9

Step-by-step explanation:

-5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4

-5 + 9 = 5

Find the value of cos 28°​cos 62°​– sin 28°​sin 62°​

Answers

Answer:

cos 28°​cos 62°​– sin 28°​sin 62°​ = 0

Step-by-step explanation:

From one of the trigonometric identities stated as follows;

cos(A+B) = cosAcosB - sinAsinB             -----------------(i)

We can apply such identity to solve the given expression.

Given:

cos 28°​cos 62°​– sin 28°​sin 62°​

Comparing the given expression with the right hand side of equation (i), we see that;

A = 28°

B = 62°

∴ Substitute these values into equation (i) to have;

⇒ cos(28°+62°) = cos28°cos62° - sin28°sin62°

Solve the left hand side.

⇒ cos(90°) = cos28°cos62° - sin28°sin62°

⇒ 0 = cos28°cos62° - sin28°sin62°     (since cos 90° = 0)

Therefore,

cos28°cos62° - sin28°sin62° = 0

How much would nick have over the span of 20 years if he put $1000 in his savings account with 10% of simple interest

Answers

Step-by-step explanation:

use the simple interest formula

Write the rule for the translation shown below.

Answers

That is a reflection

please help me it this question​

Answers

Answer:

4cm ×6cm(parallelogram)

which statement is true?

Answers

the second statement is correct in my opinion.

Answer:

The y-intercept of function A is less than the y- intercept of function B

hope it is helpful to you

x over 3 add 5 = 5


Pls help someone

Answers

Answer:

x=0

Step-by-step explanation:

0/3 = 0

0+5=5

Answer: x=0

Explanation: Plugged it into a calculator to check!

TTFN is the first one in secend and ​

Answers

Answer:

issue is the formula is still available

Step-by-step explanation:

what thw law do I have

Which of the following correctly names a side of the triangle below?


A. ZC
B. B
С. АВ
D. AABC

Answers

Answer:

C. [tex]\frac{}{AB}[/tex]

Step-by-step explanation:

You can solve this in two ways, firstly by eliminating all the wrong answers, and secondly by just knowing that the horizontal line in [tex]_[/tex][tex]\frac{}{AB}[/tex] means that we are talking about a line.

This is how we solve this question by using the eliminating process.

(A. ∠C) is not the right answer because the ∠ sign lets us know that this answer represents an angle, not a line

(B. B) is not the right answer because it represent a point, not a line (in math we use a singular capital letter to represent points)

(D. ΔABC) is not the right answer because the Δ sign lets us know that the answer represents a triangle, not a line.

Therefore, the only option left is C. [tex]\frac{}{AB}[/tex]

como se obtiene el area de un polígono regular?

Answers

Answer:

Área de un polígono regular. El área o superficie de un polígono es igual al producto del perímetro por la apotema dividido por dos. El perímetro es la suma de todos los lados.

Step-by-step explanation:

Answer:

Step-by-step explanation:

El área de un polígono regular se calcula a partir de su perímetro y su apotema. Sea P el polígono regular con N lados, su área es:

Fórmula del área del polígono regular mediante su perímetro

PLS HELP ASAP ILL MARK BRAINLIEST Find the geometric probability of landing in the shaded area of the picture. The small circle has a diameter of 6 meters and the larger circle has a diameter of 54 meters. Show and explain all work.

Answers

Answer:

1/80

Step-by-step explanation:

(the area of the small circle)/(the area of the larger circle)

= (π× 3²)/(π× 27²)

(=> eliminate π)

= 3²/27² = (1/9)² = 1/81

since the shaded area is inside the larger circle,

the geometric probability =

1/(81-1) = 1/80

WHAT IS THIS HELP- 20 points i think-

Answers

Answer:

(6,5)

Step-by-step explanation:

To keep the sides parallel, the y coordinate must be  the same as the top point so y = 5

The distance between the bottom points is 1, so the distance between the top points must be 1

The point could be at 5-1 =4  or 5+1 = 6

(4,5) or (6,5)

Given the choices listed

Other Questions
Joyce and Linda are identical twins who are 50 years old and enjoy exercising daily. Joyce avoids eating any dairy or animal products and eats granola made with canola oil for breakfast. Linda prefers rich foods, and eats bacon, eggs, and buttered toast each morning. Which statement describes a logical inference that can be made from the provided information?Butter has higher levels of saturated fats in it than canola oil.Linda and Joyce both have high levels of bad cholesterol.Butter contains a small amount of polyunsaturated fats.Linda has a higher level of bad cholesterol than Joyce. What is one post-war USSR goal? Ethan invests $3000 in a mutual fund that earns 6% interest per year compounded monthly. After 10 years, the investment is worth $5,458.19. How much interest did he earn? What is the perimeter of Quadrilateral ABCDwith vertices at A(11, 6), B(3, 0), C(1, 0), and D(1, 6)? Activity A. Write T if the statement is true and F it is false. _____ 1. Nowadays it is very easy to access information, but it is our responsibility to take note of the credibility and legitimacy of its sources. _____ 2. Critical thinking is an important skill in reacting to lay value judgment. _____ 3. There is no need to do further research if you think the information is true anyway. _____ 4. When looking at different points of view of a particular topic, it is not important to scrutinize the biases presented. _____ 5. We must be responsible for reacting to certain issues. Everything we express should be treated with sensitivity. _____ 6. If the speaker is already deemed reliable, there is no need to consider the claims of the opposing side. _____ 7. Pieces of evidence are crucial to developing a stand on a particular issue. _____ 8. The source of the information is reliable if the author is considered an expert on the issue. _____ 9. The inference is not merely guessing or assuming something is right or wrong; it is backed up with facts. _____ 10. One must formulate his or her own opinions on important issues. What is the sum of the factors?Two factors of -48 have a difference of 19. The factorwith a greater absolute value is positive.-19-131316 what is chemical reaction A basketball player made 80 out of 100 attempted free throws. What percent of free throws was made?I need a correct answer asap! Jacob cuts 4 meters of a ribbon into 3 pieces, the length of the first piece is 1.28 meters.The length of the second one is 1.65 meters. Work out the length of the 3rd piece. AYUDENME CON ESTO PORFAVOR/HELP ME WITH THIS PLEASE 96 sq meters 144 sq meters84 sq meters102 sq metersPls show work I get different answers from people every time What is the x-intercept of the line shown below? Enter your answer as a coordinate pair. In a wire, when elongation is 4 cm energy stored is E. if it is stretched by 4 cm find the energy stored A river is being polluted with fertilizerrunoff from a neighborhood of houses.This is consideredA. point source pollutionB. nonpoint source pollutionC. heavily regulated water pollutionD. illegal A 1,260-foot tree has grown at a constant rate each year. In the equation below, t is the age of the tree 28t = 1,260 in years. Which is an example of why the process of photosynthesis is important to life on Earth? What's the differences between species richness management approach and indicator species management way? Which is the best approximation for the value of 102? Express your views on how the law, citizens and community can protect and support victims of human trafficking development of society means tansformation of society justify