If A = 6 i -8 j and B = - 16 i + 5 j , what is the magnitude of the vector C = 2 A - B ?

If A = 6 I -8 J And B = - 16 I + 5 J , What Is The Magnitude Of The Vector C = 2 A - B ?

Answers

Answer 1

Answer:

Choice a. [tex]35[/tex]

Step-by-step explanation:

Note that [tex]i=(1,0)[/tex] and [tex]j=(0,1)[/tex], so

[tex]C=2A-B=2(6i-8j)-(-16i+5j)=12i-16j+16i-5j=28i-21j=(28,-21)[/tex]

Now the magnitude of a vector [tex](x,y)[/tex] is [tex]\sqrt{x^2+y^2}[/tex], thus the magnitude of [tex]C[/tex] is

[tex]\sqrt{28^2+(-21)^2}=\sqrt{784+441}=\sqrt{1225}=35[/tex]


Related Questions

A worker earns the same amount for each
hour. If he earned $48.00 in 3 hours, how
much would he earn in 8? In 40?

Answers

Answer: 8 hours= $128      40 hours= $640

Step-by-step explanation:

$48.00 divided by 3 = $16.00 an hour. so 16x8=128 and 16x40=640

it takes a lady 26 minutes to travel 3 km by walking the first part at 6 km per hour and running the second part at 10 km per hour what distance does she walk​

Answers

Answer:

78 meter 360meters 600 meters

find the midpoint of R(5,3) and S(-4,6) PLEASEEE

Answers

Answer:

(0.5, 4.5)

Step-by-step explanation:

midpoint formula:

((sum of the two x values)/2, (sum of the two y values)/2)

= ((5+(-4))/2 , (6+3)/2)

= (0.5, 4.5)

Mr. jovanovski is having wood flooring

Answers

Answer:

By definition the area of a rectangle is:

A = l * w

Where,

l: long

w: width

So we have to clear the width:

w = A / l

Substituting the values:

w = (234) / (18) = 13

w = 13 feets

answer

the width, in feet, of the room is 13

Step-by-step explanation:

Simplify show all steps thirty POINTS!

Answers

6a + 3
Hope it helped
I think it’s 2a+3
Since you have to divide 6a AND 9 by 3 :)

4) When you get to college you will be assigned a new Student Identification Number. If this ID is
5 number digits and 2 letters long, how many possible students can the school accommodate?

Answers

The IDs are of the form DDDDDLL, where D is a digit and L is a letter. There are 10 digits and 26 letters in English.
This gives you 10*10*10*10*10*26*26 possible combinations, or that many possible students who can use that system.

That’s 67,600,000 students.

Combine Like Terms
1. What is the simplest expression equivalent to 2 - 11 + 18 - 20.x ?
-7-21x
7-19x
7+21x
-7+19x

Answers

Answer:

-9x+20

Step-by-step explanation:

38 = x − 4(x + 1)
help pls

Answers

Answer:

Given :-

[tex]\huge38 = x - 4(x + 1)[/tex]

On calculation:-

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎[tex]\large=>38 = x - 4x - 4[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎[tex]\large=>38 = - 3x - 4[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎[tex] \large=>- 3x = 38 + 4[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎[tex]\large =>- 3x = 42[/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎[tex]\large =>x = \frac{42}{ - 3} [/tex]

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎[tex]\large =>x = -14[/tex]

▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂

Hence, Your answer :-

[tex]\huge\green{ x = -14}[/tex]

Solve 4/5x + 1/3 = 3

Answers

Answer:

The answer is 10/3.
Answer : 10/3 :) hope this helps

Solve the following equation.
X - (-6) = 15

Answers

X = 9, good luck, Chuck.

Answer:  x=9

Step-by-step explanation:

x-(-6)=15

first the subtraction sign and the negative sign becomes a plus sign

x+6=15

  -6  -6

Next you subtract 6 from both sides of the equation. And that leaves you with

x=9

please help with math

Answers

1.) - sqrt. 2 (which, in decimal, is about -1.4142…) , 0, sqrt. 5 (which, in decimal, is about 2.2360…) , 13/4

2.) -1.5, 3/4 (which, in decimal, is 0.75) , 3, sqrt 10 (which, in decimal, is about 3.1622…)

3.) -3/2 (which, in decimal, is -1.5), -3/7 (which, in decimal, is about -0.4285…) , 0.75, 2

6 bannas cost $0.75. How much do 20 bannas cost

Answers

Answer:

15

Step-by-step explanation:

Answer:

The answer is 15

Step-by-step explanation:

please solve this question i need help​

Answers

Answer:

4c/2a 60 degrees 3bf 2ad

Answer:

f=120

b=40

d=140

e=120

c=30

a=30

Name 10 different rays. Then name 2 pairs of opposite rays.

I simply need to check answers!

Answers

Answer:

Rays are.

DA,CB,AB,EA,CA,CD,EB,BC, rest I don't know

Plz help what is
1 2/5 - (-3/5)

Answers

Step-by-step explanation:

1 2/5 - (-3/5)

1 2/5 + 3/5

7/5 + 3/5

10/5

Evaluate the number sequence. What number should come next in this following sequence? 6, 2, 12, 4, 24 =

Answers

Answer:  Either 6 or 8

Explanation:

Notice that the first, third and fifth values are: 6,12,24. It appears the pattern here is "times 2". So we double each value to get the next item. This only seems to apply for the odd numbered slots.

For the even number slots, we have the pattern: 2,4. The next item isn't clear. We could do two things

add 2multiply by 2

If we go with the first option, then we have 4+2 = 6 as the next term

OR

If we go with the second option, then we have 4*2 = 8 as the next term

Unfortunately, there isn't enough information to know which would actually be the next term. A common problem with sequence problems like this is that there are often many ways to generate the same subsequence, which leads to ambiguity as to what the next term would be.

The area of this shape is 24 square units. Which of these statements is true about the area ?​

Answers

D.

Because the area of an object is number of square units or square grids inside the shape.

Answer:

D.

Step-by-step explanation:

Write an equation in slope-intercept form for the line with slope -3/2 and y -intercept -3

Answers

Answer:

It is

[tex]{ \underline{ \sf{y = - \frac{3}{2}x - 3 }}}[/tex]

Step-by-step explanation:

General equation:

[tex]{ \sf{y = mx + c}}[/tex]

m is the slope

c is the y-intercept

[tex]y = - \frac{ 3}{2} x - 3[/tex]

PLEASE HELP WITH EXPLANATION NO LINKS OR I Will Report You

Answers

Answer:

none of above

Step-by-step explanation:

please mark me brainleast

Answer: a because 2 negatives equals a positive

Step-by-step explanation:

HELP PLS IM BEGGING YOU PLS HELP, its due todayyy pls. Angle CBD is the only one i got right and the rest is wrong. I dont know how to answer it anymore.

Answers

Answer:

try It would be number 81

Step-by-step explanation:

Abc= 110

ceo=70

dbe=110 or 120

and abe= 60 70 or 81

Answer:

ABC=112 degrees

DBE=112 degrees

ABE=68 degrees

Step-by-step explanation:

CBD=ABE

ABE=68 degrees

First let's take these as X,

ABC=DBE=X(Vertically opposite angles)

ABC+DBE+CBD+ABE=360(angles around a point)

   x  + x     +68   +68  =360

      2x        +136        =360

                       2x       =360-136

                       2x       =  224

                             x    =112 degrees

therefore;

   ABC=112 degrees

   DBE=112 degrees

can someone help me with this one again bc I didn't show the decimal Decimal: 0.44​

Answers

Step-by-step explanation:

The answer is 10 times

=> 4 hundredths x 10 = 4 tenths

=> 0.04 x 10 = 0.4, which is correct

Hope that helps

a line passes through the points 3, 0 and 4, 1. what is the y-intercept of the line

Answers

9514 1404 393

Answer:

  (0, -3)

Step-by-step explanation:

The slope is the same for any segment of the line. The slope from (0, y) to (3, 0) is the same as from (4, 1) to (3, 0).

  Δy/Δx = (y -0)/(0 -3) = (1 -0)/(4 -3)

  y = -3(1/1) = -3 . . . . . multiply by -3

The y-intercept is (0, -3).

can 0.462 be written as a fraction and is it a terminating or repeating decimal

Answers

Answer: 462/1000

Step-by-step explanation:

If you were to take a longitudinal section from a long cylinder, what shape would you get? Question 23 options: A circle A parallelogram A square A rectangle

Answers

Answer:

A Rectangle

Step-by-step explanation:

A longitudinal section means that the plane slicing the cylinder is vertical, just as a latitudinal section means that the slice is horizontal.

When you think about it, a flat slice of a cylinder in the vertical direction is a rectangle.

If the cylinder is sliced along the length of the cylinder then the shape we get is a rectangle. Then the correct option is B.

What is a cylinder?

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

If you were to take a longitudinal section from a long cylinder.

Then the shape we get will be

If the cylinder is sliced along the length of the cylinder then the shape we get is a rectangle.

More about the cylinder link is given below.

https://brainly.com/question/3692256

Find the missing angle.

Answers

Answer:

Angel V = 74

I hope it's helps you

The missing angle is 74 degrees. Triangles add up to 180° so do 180 minus the angles given to get 74.

what passes through the points (-1/2 4) and (1/2 6). show your work​

Answers

Step-by-step explanation:

The equation of line which passes through these points is determined by:

p(x1,y1)=(-1/2,4) p(x2,y2)=(1/2,6)

[tex] \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} \\ \frac{y - 4}{6 - 4} = \frac{x + \frac{ 1}{2} }{ \frac{1}{2} + \frac{1}{2} } \\ \frac{y - 4}{2} = \frac{2x + 1}{2} \\ 2(2x + 1) = 2(y - 4) \\ 4x + 2 = 2y - 8 \\ 4x - 2y + 2 + 8 = 0 \\ 4x - 2y + 10 = 0[/tex]

Note:if you need to ask any question please let me know.

a. (2 + 4) + 5( − 1) − ( + 7)
b. (74 + 9) − 2(4 + 13)
c. (6 − − 4) + (9 + 4)
d. (5 − 2)+ 6(2 − 8) − (2 + 12)
e. (83 + 5) − 3(3 + 2)
f. (12 + 1) + 2( − 4) − ( − 15)
g. (132 + 5) − 2(2 + 1)
h. (9 − − 2) − 3
(8 + 22)
i. (4 + 6) − 12( − 3)+ ( + 2)
j. (154 + 10) − 12(4 + 4)

Answers

a) -6
b) 49
c)23
d)-47
e)73
f)20
g)131
h)-79
i)48
j) 68

What's (9+9i)(-1-5i) using foil method

Answers

Answer:

36-54i

Step-by-step explanation:

(9+9i)(-1-5i)

v

-9-9×5i-9i-9i×5i

v

-9-45i-9i-45i^2

v

-9-45i-9i-45×(-1)

v

(-9)-45i-9i+(45)

v

36(-45i)(-9i)

v

36-54i

278 kg to pounds, rounded off to the nearest pound.

Answers

Answer:

About 613 pounds

Step-by-step explanation:

1 : 2.20462262

278 : 612.885089

612.885089 --> 612.89 --> 612.9 --> 613


If a >b, then A must be positive number.

Answers

Step-by-step explanation:

NO,IT DEPENDS UPON SITUATIONS

IF B IS -5 THEN A CAN BE -2,-4,-3 OR 1 ,2,3,4,......

Other Questions
6.55743... is an irrational number because it is an a terminating decimala repeating decimala non-terminating and non-repeating decimala non-repeating decimala non-terminating decimal How did Indians use non-violence to achieve their goals? Postcards cost $2.50 for six.What's the price for 1 postcard? What is the primary source of energy in a food chain?O oxygensuncarbon dioxideO water Evaluate 15r1r15 1start fraction, 15, divided by, r, end fraction, minus, 1 when r=5r=5r, equals, 5. Alkanes are chains of carbon atoms surrounded by hydrogen atoms. Which alkane has the weakest dispersion attractive force? plz help me I need help What is Pakistan's Ideology? Describe and Explain. In a paragraph, explain why President James Madison authorized the Second Bank of the United States. What problem was he trying to solve? What problems did this bill create? If it is 9:00 a.m. at Prime meridian (Greenwich meridian). What time is it in Kigali located at 30 degrees East? how to write the sentence "The organisers said 'shoes are vital to these children and it makes them happy' Deborah needs fabric for her costume. She buys 3.25 yards of material at $5.87 a yard. Question: What is the total cost of the fabric? Round to the nearest cent (hundredths place). You must show your work to receive all possible points. Note: Enter your answer and show all of the steps that you use to solve this problem in the space provided Please Help:(No absurd answersA _________ is a group of words that work together to express an idea and can function as a noun, adjective, verb, or adverb. Pls Solve 4x+16=x+166 Trent buys a new smartphone. The total cost is $599.40, but he pays in equal monthly payments of $33.30. How many months will it take Trent to pay off the smartphone? how many months? The scientific method is cycliclinear What is one of the best ways to stop procrastinating and study More How to do this two question? can anyone solve this question Use the diagram to find the angle measuresof the triangle. Recall that the sum of theangle measures of a triangle is 1802x(x+8)x(x+8) = 2x =(SOMEONE PLEASE ANSWER)