What is the relationship between vectors u = ⟨1, 0⟩ and v = ⟨0, –3⟩?

The vectors form an acute angle of approximately 48°.
The vectors form an acute angle of approximately 71°.
The vectors are orthogonal because the angle between them is 90°.
The vectors form an obtuse angle of approximately 132°.

Answers

Answer 1

Answer:

C) The vectors are orthogonal because the angle between them is 90°.

Step-by-step explanation:

got it right on edge :)

Answer 2

The vectors are orthogonal because the angle between them is 90°. Option C is correct.

What exactly is a vector?

A vector is a quantity with a magnitude, and direction that follows the law of vector addition.

Given data;

u = ⟨1, 0⟩

v= ⟨0, –3⟩

The angle between the vector is found by the formula as;

[tex]\rm cos \theta = \frac{u,v}{|u||v|} \\\\ cos \theta = \frac{(1 \times 0) + (0 \times -3)}{\sqrt{1^2+(-0^2)+\sqrt{0^2+(-3)^2}}} \\\\ cos \theta = 1 \\\\ \theta = cos^{-1}1\\\\ \theta = 90^0[/tex]

Hence option C is correct.

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Related Questions

What is the value of x?
Enter your answer in the box.

Answers

Answer:

80°

Step-by-step explanation:

70+30=100

180 - 100= 80°

Find the arc length of AB to the nearest tenth.
90°
B
A
70 m
The arc length is
meters.

Answers

90 is a fourth of 360, so the a fourth of the total circumference is between those two radii. This means that, if you find the circumference and divide it by 4, the resulting number is that length.

o need help with my math its manly slope m

Answers

Answer:

nvm everybody hates me

Step-by-step explanation:


can you guys plz help ASAP

Answers

it’s y = 1/8x - 3, so the first answer
Y = - 1/8 -3
In the question you need to subtract x from both sides then divide -8 from -x and 24

Simplify:


3(8) 0 • (3) –2

a–27

b24/9

c–216

d 1/3

Answers

Answer:

-2a-27b.2^3/3c-2161/3

John has 8 coins, all of which are quarters and nickels. In all, they're worth $1.00. How many of each kind of coin does John have?

Answers

Answer:

you will need 3 quarters and 5 nickel  

Step-by-step explanation:

3 quarters is 75     and 5 nickels is 25 =1.00

(2x - 5) (x^2 + x - 2) =

Answers

It’s 2x^3-3x^2-9x+10

In the figure, line e || line ff . Which statement is true?

Answers

Answer:

B

Step-by-step explanation:

The measure of angle seven is 70 since 180 - 110 = 70. The measure of angle three is equal to the measure of angle seven using the Corresponding Angles Theorem

Help me please please

Answers

Answer:

Step-by-step explanation:

i have no idea what to do

In a class of 50 students 24 like football, 21 basketball and 18 Cricket, 6 like football and basketball, only 3 like basketball only, 5 like any of the three games. Illustrate the information in a Venn diagram. Find the number of students who like football and crickets only and exactly one of the game.

Answers

After answering the query, we may state that Therefore, the number of equation students who like exactly one of the games is: O + 3 + 6 = 24 + 3 + 6 = 33

What is equation?

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

Here is a Venn diagram illustrating the information given:

    _______        _______

   |       |      |       |

   |  F    |      |  C    |

   |___|___|      |___|___|

       |              |

   |       |      |       |

B  |  FC   |      |   B   |

   |___|___|      |___|___|

       |              |

   |       |      |       |

   |  O    |      |   E   |

   |___|___|      |___|___|

 F = Football

 B = Basketball

 C = Cricket

 FC = Football and Basketball

 O = Only Football

 E = Exactly one of the games

To find the number of students who like football and cricket only, we need to subtract the number of students who like football and basketball (i.e., FC) from the number of students who like football (i.e., O) and cricket (i.e., C). Therefore, the number of students who like football and cricket only is:

O - FC - E = 24 - 6 - 5 = 13

To find the number of students who like exactly one of the games, we need to add up the number of students who like only football (i.e., O), only basketball (i.e., 3), and only cricket (i.e., 6). Therefore, the number of students who like exactly one of the games is:

O + 3 + 6 = 24 + 3 + 6 = 33

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please help me, i will give 15 points and brainleist

Answers

Answer:

3 + 0.25x

Step-by step answer:

1. add like terms inside the bracket 8+4=12

2. divide each term in bracket by 4

12/4 = 3

x/4 = 0.25x

Answer:

Step-by-step explanation:

1/4(8+4+x)=

1/4(12+x)=

3+ x/4

2) Which of the following is an equivalent ratio to 12:48? Choose all that apply.
a. 3:12
b. 6:24
C. 24.48
d. 24.96

Answers

3:12, because 12/4 is 3 and 48/4 is 12
its because 12:48=6:24

Solve the system of equations by elimination
3x+4y=9
-6x-8y=-18

A. (5,-1)
B. (5,1)
C. Infinite number of solutions
D. (1,5)

Answers

C. Infinite numbeer of solutions

dhjf sdfjhs fs djffsdfjosf dsfjps fssoipsf fsjf f fsfsfsfohff fidfsdfeffsj fsdfsfsn f fhjfsifse

Answers

Answer:

i

Step-by-step explanation:

Can someone please help me with this question

Answers

Answer:

Eat some mc donolds then ur good

Step-by-step explanation:

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Can somebody help me

Answers

Answer:

2nd and obtuse triangle - should be - double check

Step-by-step explanation:

d=.5*a*t^2 - solving for a[tex]d=.5*a*t^2[/tex]

Answers

Answer:

[tex]\displaystyle a=\frac{d}{.5*t^2}[/tex]

Step-by-step explanation:

Equation Solving

We are given the equation:

[tex]d=.5*a*t^2[/tex]

It's required to solve it for a.

Swap sides to have the letter on the left side:

[tex].5*a*t^2=d[/tex]

Divide by [tex].5*t^2[/tex]:

[tex]\mathbf{\displaystyle a=\frac{d}{.5*t^2}}[/tex]

Two workers win prize of £240, they share prize money in ratio of 3.5, how much does one get

Answers

Answer:
90
Step-by-step explanation:
Total Prize 240
Sharing at 3:5 = 3+5 = 8
240/8 = 30

HELPPPPP!!! 20 points

Consider the equation 6x+3y=9 Which equation, when graphed with the given equation will form a system with
infinitely many solutions?
y+ 2x-3
y+2x9
Oy=2x+3
Oy=-2x+9

Answers

Answer:Oy=2x+3

Step-by-step explanation:

Please help! I will mark first answer brainliest and lots of points!!!! Jeremy is playing a game called “Rational Round Up” where he has to collect all the numbers in a maze that are rational and then get to the end of the maze. When he collects a number he must prove it is rational by writing it as a quotient of two integers. Help him determine how to prove that each of the following numbers is rational. If you answer all I will appreciate that very much!
1. -18
2. 87.125
3. -30
4. -8.3
5. 58.25
6. 121
7. 4.5

Answers

Shouldn’t it be 6. and 3. I hope it helped

Answer: All Options also - 9 + -9 = -18

Step-by-step explanation: The Reason It Is All Of Them Is Because A Rational Number Is A Fraction Integer or Some Kind of repeating decimal And They All Are In That Category.

Car dealership pays a wholesale price of $10,000 to purchase a vehicle if they mark up the price 20% what is the retail price of the car

Answers

Answer:

8000

Step-by-step explanation:

10000 x 20% = 2000

10000-2000= 8000

A square shaped pasture has an area of 144 square feet. What is the perimeter of the pasture?

Answers

Answer:

48 ft.

Step-by-step explanation:

sqr root 144= 12

12x4=48

the perimeter of the square should be 48 square feet.

we know that in a square, all the sides are the same length. the square root of 144 is 12, and we know the square root of a number (12) is what gives the square root (144) when multiplied by itself. the formula of area (in a square) is A = bh, where the b stands for base and the h stands for height. if the base and height multiplied equals 144, we know both the base and height are 12 square feet. so now that we know all of the sides are 12 square feet, we can finally solve perimeter. you find perimeter by adding up all the sides. 12 + 12 + 12 + 12 = 48. (you can also do 12 x 4). this is how we know the perimeter is 48 square feet.

^^ only included this in case you needed to give an explanation.

Two artillery bases are located at the points A and C represented in the figure. Each of the bases locates an enemy airplane at point B. The base at A measures the angles of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters. If the distance from the base at C to the plane is 2,517 meters, what is the measure, in degrees, of ∠CBA?

Answers

Answer:

the answer is 17 here is the step below

Step-by-step explanation:

Use the Law of Sines to find the distance. For a triangle with angles A, B, and C, and opposite sides a, b, and c, the Law of Sines states that sinAa=sinBb=sinCc.

In this case, the angle at point B, let it be α, needs to be found. The Law of Sines can be used to relate α, the two known sides, and the angle at point A.

The Law of Sines states that sinα739=sin95∘2517.

By simplifying, sinα=739sin95∘2517. Since α is acute, α=sin−1(739sin95∘2517)≈17.0∘.

The measure of the angle is 17 degrees if the A measures the angle of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have a triangle shown in the picture

To find the measure of the angle ∠CBA

Applying sin law:

sin95/2517 = sin∠CBA/739

0.292 = sin∠CBA

∠CBA = sin⁻¹(0.292)

∠CBA = 17 degrees

Thus, the measure of the angle is 17 degrees if the A measures the angles of elevation to the airplane to be 95∘ and the distance between the two bases is 739 meters.

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the area of the square is 36 cm. 2 what is the formula that shows the length or side b​

Answers

Answer:

36=b^2 or b=the square root of 36

Step-by-step explanation:

The sides of a square are all equal in length. To find the area of a square you can multiply the two sides together. Considering that they are the same length, you can just square one of the side lengths to get your answer. To find a side length you can take the square root of the area.

Answer:

Step-by-step explanation:

b · b = 36

What is the solution to the system of equations graphed below?
y=-4x + 33

y=5/3x-1

Answers

Answer:

x = 6

y = 9

This is the correct answer. Not satisfied? Check out this answer expert verified answer of the same question but with a step-by-step explanation. This answer is just a simple version of rocioo's correct answer.

Expert Verified Answer (of this same question but with a step-by-step explanation):

This is the link to rocioo's answer. https://brainly.com/question/13675950

A square has been divided into a equal-sized pieces. Four of the peices are shaded.

Answers

Answer:

it is now 1 whole

Step-by-step explanation:

2x – 5x + 16 = -3(x – 6)

Answers

Answer:

16=18

Step-by-step explanation:

2x-5x+16

-3x+16

-3(x-6)

-3x+18

-3x+16+-3x+18

16=18

-they do not share the same answer

and if you where to keep going

18-16=2

0=2

-so again not equal

hope that helps

Answer:

Exact Form : X= 200/33  Decimal form: X= 6.066 Mixed number form X= 6 2/33

Step-by-step explanation:

Hopeful this help

What property is shown in the following equation?

17 + 8 + 3 = 17 + 3 + 8

Answers

Answer:

The Commutative Law of Addition.

Step-by-step explanation:

Basically, this law says we can swap numbers over and still get the same number when we add. This has demonstrated exactly that.

Hope this helped!

Answer:

Associative property

Which two expressions are equivalent?
A 4(x + 5) and 4x + 9 C 4(x + 5) and 4x + 20
B 4(x + 5) and 4x + 5 D 4(x + 5) and 4 + x + 4 + 5

Answers

the answer is c bc when you multiple they equal

please help meeee with this question

Answers

Answer:

Its possible 1 it looks like an equilateral triangle and 4 times whatever x is has to be the same as x+3 which can only be D i hope this help

Step-by-step explanation:

It is d because the one side is 4 which is the same size as the missing size so 3+1 =4 easy Peary
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