Let u = ⟨–2, 6⟩, v = ⟨3, 2⟩, and w = ⟨–1, 4⟩. What is the magnitude and direction angle of 2(u + v) – 3w?

Let U = 2, 6, V = 3, 2, And W = 1, 4. What Is The Magnitude And Direction Angle Of 2(u + V) 3w?

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Answer 2

The magnitude and direction angle of 2(u + v) – 3w is 6.4 and 38.7°

What is vector?

A vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity.

Examples of vectors in nature are velocity, momentum, force, electromagnetic fields, and weight.

u = ⟨-2, 6⟩

v = ⟨3, 2⟩

w = ⟨-1, 4⟩

u + v = ⟨-2, 6⟩ + ⟨3, 2⟩

u + v = ⟨-2 + 3, 6 + 2⟩

u + v = ⟨1, 8⟩

2 (u + v) = 2 ⟨-1, 8⟩

2 (u + v) = ⟨2 • 1, 2 • 8⟩

2 (u + v) = ⟨2, 16⟩

-3 w = -3 ⟨-1, 4⟩

-3 w = ⟨-3 • (-1), -3 • 4⟩

-3 w = ⟨3, -12⟩

2 (u + v) - 3 w = 2 (u + v) + (-3 w)

2 (u + v) - 3 w = ⟨2, 16⟩ + ⟨3, -12⟩

2 (u + v) - 3 w = ⟨2 + 3, 16 + (-12)⟩

2 (u + v) - 3 w = ⟨5, 4⟩

Then the magnitude of this vector is

||2 (u + v) - 3 w|| = √(5² + 4²) = √41 ≈ 6.403

Hence, the magnitude and direction angle of 2(u + v) – 3w is 6.4 and 38.7°

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Related Questions

Help plzzzzzzzzzzzzzzz

Answers

Answer:

the answer for your question is coordination

For an equation to have infinitely many solutions, the solution will appear as a ______ statement.

Answers

Answer:

true

Step-by-step explanation:

for example, when you solve an equation and you get something like 16=16, which is infinitely many solutions and is also a true statement

each marble bag sold by Lisas marbles company contains three red marbles for every four orange marbles if a bag has 24 red marbles how many orange marbles does it contain

Answers

Answer:

32 orange marbles.

Step-by-step explanation:

First set up the proportion given in the problem, since it states that there are three red marbles for every four orange marbles. The ratio between them is 3:4.

This means that you can multiply the given amount of red marbles by 4/3 to find the amount of orange marbles and the given amount of orange marbles by 3/4 to find the amount of red marbles. Because there are 3 red marbles for every 4 orange marbles.

You can divide 32 by 3 to find the factor which is 8 and multiply by 4 to get 32. Because 8 × 3 = 24,

and 8 × 4 = 32.

It can also be thought of as fractions because the proportion is a factor which means that you can multiply and divide to get to a certain value.

So:

3/4 = 24/O

Red marbles / orange marbles = red marbles / orange marbles.

(cross multiply ; numerator times denominator, and denominator times numerator; numerator is the top number, and the denominator is bottom number of a fraction).

3O = 96

÷3 ÷3

O [orange marbles] = 32

need help asap please

Answers

Answer: f = 12.5

Step-by-step explanation:

[tex]f = \frac{25}{2} \\decimal form = 12.5\\ mixed fraction form 12 \frac{1}{2}[/tex]

What is the percent of change from 100,000 to 20,000?
400% increase
400% decrease
80% decrease
80% increase

Answers

Answer:

That is an 80% increase

Determine if the table shows a linear or an exponential function​

Answers

Answer:

The table shows an exponential function

Step-by-step explanation:

Linear vs Exponential Functions

A linear function is written as:

[tex]y=mx+b[/tex]

where m and b are constants.

If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.

The slope can be calculated as:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

An exponential function is written as:

[tex]y=y_o.r^x[/tex]

Where r is the ratio and yo is a constant.

If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.

The ratio can be calculated as:

[tex]\displaystyle r=\sqrt[x2-x1]{\frac{y2}{y1}}[/tex]

Calculate the slope for (0,4) and (1,2):

[tex]\displaystyle m=\frac{2-4}{1-0}=-2[/tex]

Calculate the slope for (1,2) and (2,1):

[tex]\displaystyle m=\frac{1-2}{2-1}=-1[/tex]

Since the slope is not the same, the function is not linear.

Now calculate the ratio for (0,4) and (1,2)

[tex]\displaystyle r=\sqrt[1-0]{\frac{1}{2}}[/tex]

The radical of index 1 is simply equal to its argument:

[tex]\displaystyle r=\frac{1}{2}[/tex]

Now calculate the ratio for (0,4) and (2,1)

[tex]\displaystyle r=\sqrt[2-0]{\frac{1}{4}}[/tex]

[tex]\displaystyle r=\sqrt{\frac{1}{4}}[/tex]

[tex]\displaystyle r=\frac{1}{2}[/tex]

Testing other points we'll find the same ratio, thus the table is an exponential function

Like ya cuttt g..........

PLEASE HELP QUICK FIND THE y-intercept and the slope and the roc
please don’t do it for the points i actually need help

Answers

Answer:

4.5 or 5

Step-by-step explanation:

Acording to your graph it would be whatever point that is one the Y line which is going vertical.

4x^2-21x-18=0
Find the discriminate

Answers

a = 4, b = -21, c = -18

to keep from getting "mixed up", evaluate the discriminant first ...

b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729

sqrt(729) = 27

x = (21 +/- 27)/8

x = -3/4, x = 6

since the discriminant is a perfect square, the original quadratic will factor ...

4x<sup>2</sup> - 21x - 18 = 0

(4x + 3)(x - 6) = 0

x = -3/4, x = 6

Answer:729

Step-by-step explanation: Use the values of a, b and c to find the discriminant. Which is 729

the nth term of a sequence is 3n²-1
what are the second and fifth terms?

Answers

2nd term: 3(2)^2 - 1

5th term: 3(5)^2 - 1

Answer:

11 and 74

Step-by-step explanation:

To find the second and fifth terms substitute n = 2, n = 5 into the rule, that is

a₂ = 3(2)² - 1 = 3(4) - 1 = 12 - 1 = 11

a₅ = 3(5)² - 1 = 3(25) - 1 = 75 - 1 = 74

Factor this expression completely, then place the factors in the proper location on the grid.

x3 - 1

Answers

x3-1 on a gird is 1 on x axis and 3 on y axis

Answer:

(x - 1)(x^2 + x + 1)

Step-by-step explanation:

they said it was the answer.

What does similar mean

Answers

resembling without being identical

Please help me! I’ll mark you brainiest

Answers

Answer:

c

Step-by-step explanation:

It is given that the line AB is Perpendicular Bisector of IK. It means the line AB is perpendicular on IK and the point J divides the line IK in two equal parts.

If a line is bisector of another line, then the point of intersection divides the second line is two equal parts.

Therefore the distance between intersection point and the endpoints of the second line are the same.

The intersection point is J and the end points of IK are I and K. So, we can say that IJ = JK.

On a two-week job, a repairman works a total of 70 hours. He charges $75 plus $40 per hour. An equation shows this relationship, where x is the number of hours and y is the total fee.
What number is the slope of the line shown by the equation?

Answers

Answer:

y=40x+75

40 is the slope and the y-intercept is 75

find ten rational number between –3and–2​

Answers

Answer:

0

Step-by-step explanation:

What is the shape of the cross section taken perpendicular to the base of a cone?

Answers

Answer:

triangle

Step-by-step explanation:

Find the value of each trigonometric ratio.

A. 15/17
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C. 17/8
D. 8/17

Answers

B. 15/8 because you count all of it

solve 2x-y > 1 for y

Answers

Answer:

y<2x−1

Step-by-step explanation:

1 Subtract 2x2x from both sides.

-y>1-2x−y>1−2x

2 Multiply both sides by -1−1.

y<-1+2xy<−1+2x

3 Regroup terms.

y<2x-1y<2x−1

In what quadrant would (9, -13) be located?

Answers

Answer:

The point is located in the fourth quadrant because x is positive and y is negative. The quadrants are labeled in counter-clockwise order, starting in the upper-right.

Step-by-step explanation:

Answer:

It would be located in the second quadrant or the one under the positive quadrant

Step-by-step explanation:

What is the slope of the equation y = 3x + 2?

Answers

Answer:

3

Step-by-step explanation:

the equation is y=mx+b

m=slope

so then 3 would be the slope

hope this helps :3

if it did pls mark brainliest

Answer:

3

Step-by-step explanation:

To find the slope, think of the equation used for slope intercept form.

y = mx + b

m is the slope, and b is the y intercept.

In this equation, m = 3

Thus, the slope is 3

wich expression is equivelent to 4(3+5)-3times9 to the power of 2

Answers

Answer:

-211

Step-by-step

Edna has a segment with endpoints F(4,9) and G(7,2) that is divided by a point H

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Answer:

1/4 is your answer.

Step-by-step explanation:

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Answers

Answer:

Cameron found 23 quarters and 57 dimes.

Step-by-step explanation:

Let the number of quarters Cameron found = Q

And the number of dimes = D

Since, total number of coins were 80,

Q + D = 80 -----(1)

Total amount of the coins was $11.45,

0.1D + 0.25Q = 11.45

10D + 25Q = 1145

2D + 5Q = 229 -----(2)

Equation (1) multiplied by 2 then subtracted by equation (2),

(2D + 5Q) - 2(Q + D) = 229 - 2(80)

(2D - 2D) + (5Q - 2Q) = 229 - 160

3Q = 69

Q = 23

From equation (1),

23 + D = 80

D = 57

Cameron found 23 quarters and 57 dimes.

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Answers

Answer:

8

Step-by-step explanation:

to get x alone you divide the 2 away on both sides, getting x = 8. To check multiply 8 by 2 and you get 16.

Hope this helps!

Take the root of both sides and solve.

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Answers

1.13 I hope I helped , enjoy it ‘!

Priya and Han are biking in the same direction on the same path.

1. Han is riding at a constant speed of 16 miles per hour. Write an expression that shows how many miles Han has gone after t hours.

miles

2. Priya started riding a half hour before Han. If Han has been riding for t hours, how long has Priya been riding?

hours

3. Priya is riding at a constant speed of 12 miles per hour. Write an expression that shows how many miles Priya has gone after Han has been riding for t hours.


4. Use your expressions to find when Han and Priya meet.

t=

They meet after Han rides for
hours and Priya rides for
hours.

Answers

Answer:

1. V = D/t => D=Vt. as V = 16mph

D = 16t

2. Prya has been riding for t+½ hours

3. Prya has gone 12(t+½) miles

4. When Prya and Han meet

16t = 12t +6

4t = 6

t = 3/2 hours

Assume that y varies directly with x. If y=−4 when x=2, find y when x=−6. Enter in any fractions using a / (e.g. "1/2" is the same as 1^/2).

Answers

Answer: 12

Step-by-step explanation:

This is a direct proportion and we use the formula:

y = kx

If y = −4 when x=2, we need to find the constant of proportionality. This will be:

y = kx

-4 = 2k

k = -4/2

k = -2

To find y when x=−6 guess this:

y = kx

y = -2 × -6

y = 12

Hence, The value of y = 12 when x = -6.

Given that , Y varies directly with x .

If y=−4 when x=2,

Find y when x=−6.

According to the question,

This is a direct variation , y = kx

If,

y = −4  when x=2,

y = kx

-4 = 2k

[tex]k = \frac{-4}{2}[/tex]

k = -2

To find ;

y when x = −6

y = kx

y = (-2) (-6)

y = 12

Hence, The value of y = 12 when x = -6.

For more information about Direct variation click the link given below.

https://brainly.com/question/13977805

Showing algebraic support, find the value of x.

Answers

Answer:

x = 52.5

Step-by-step explanation:

The triangle on the left has 2 congruent sides, thus is isosceles

The base angles of an isosceles triangle are also congruent, thus

x = [tex]\frac{180-75}{2}[/tex] = [tex]\frac{105}{2}[/tex] = 52.5

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A.) 20°
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C.) 100°
D.) 40°
E.) 80°

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Answer:

i think it might be b 70° sorry if it's not

identify the like terms in:

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Answer:

bthw like your phone case the answer is ac and hope this helps mark me branliest

Step-by-step explanation:

Which of the following is equivalent to 3x-4y=24

Answers

what are the options lol
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