1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
antoniya [11.8K]
4 years ago
12

Write the vector u as a sum of two orthogonal vectors, one of which is the vector projection of u onto v, projvu u=(-8,8) , v= (

-1,2)
A. (-0.5,1) + ( 7.5,-9) C. (-1,2) + (-2,-1)


B (-1,2) + (-7,-10) D (1.6,-3.2)+ (-9.6,-4.8)
Mathematics
1 answer:
Jobisdone [24]4 years ago
8 0

Answer:

none of the given options is true

Step-by-step explanation:

Given: u=(-8,8) , v= (-1,2)

To find: vectors w_1,w_2 such that u=w_1+w_2

Solution:

A vector is a quantity that has both magnitude and direction.

proj_vu=\frac{u\cdot v}{\left | v \right |^2}(v)\\=\frac{(-8,8)\cdot (-1,2)}{(\sqrt{ (-1)^2+2^2})^2}(-1,2)\\=\frac{8+16}{5}(-1,2)\\=\frac{1}{5}(-24,48)\\=(-4.8,9.6)

Let w_1=(-4.8,9.6)

So,

w_2=u-w_1\\=(-8,8)-(-4.8,9.6)\\=(-8+4.8,8-9.6)\\=(-3.2,-1.6)

So, u = (-4.8,9.6)+(-3.2,-1.6)

So, none of the given options is true

You might be interested in
Zoran graphed the line shown below. Which of the following represents the
brilliants [131]

Answer:

D

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
Which is the formula infinding the volume of a rectangular prism?​
Brrunno [24]

<h3>Volume of a rrectangular prism= width×length×height</h3>
8 0
3 years ago
Read 2 more answers
How do you do this?
motikmotik
Awnser is H I think I’m not to sure
3 0
3 years ago
Please answer number 3.
Alenkasestr [34]

I can't exactly SHOW you where to put the numbers, but I can teach you the process of how you'd do it.

First off, label your number line from 0-15, as it is the simplest. (You'd be counting by 1 per each line). Then, follow this process:

1) Look at the first digit of your value. Place your number according to your first digit. (So, you'd put 0.365 at the 0 line and 3.521 at the 3 line)

2) Look at the second digit of your value. Imagine that between the two main lines (0-1 and 3-4) that there is 10 smaller lines. Then, you can place your number according to your second digit. (So, you'd put 0.365 at the 0.3 line and 3.521 at the 3.5 line).

3) Look at the third digit of your value. Imagine that between the two smaller lines (0.3-0.4 and 3.5-3.6) that there is 10 smaller lines. Then, you can place your number according to your third digit. (So, you'd put 0.365 at the 0.36 line and 3.521 at the 3.52 line).

4) Look at the fourth digit of your value. Imagine that between the two even smaller lines (0.36-0.37 and 3.52-3.53) that there is 10 smaller lines. Then, you can place your number according to your fourth digit. (So you'd place 0.365 at the 0.365 line and 3.521 at the 3.521 line)

6 0
3 years ago
2x = 12<br>x - 5y = – 29​
Serhud [2]

Answer:

{x,y} = {6,7}  

Step-by-step explanation:

[1]    2x = 12  

  [1]    x = 6  

// Plug this in for variable  x  in equation [2]

  [2]    (6) - 5y = -29

  [2]     - 5y = -35

// Solve equation [2] for the variable  y  

  [2]    5y = 35  

  [2]    y = 7  

// By now we know this much :

   x = 6

   y = 7

We are done

brainlest plz and thx

5 0
3 years ago
Other questions:
  • A random sample of dry erase board marker at Juan school show that 9 of the 60 dry erase board markers do not work.There are 200
    7·1 answer
  • A caterer makes 3 extra sandwhiches for every 20 sandwhiches a customer orders. What is the ratio of ordered sandwiches to extra
    12·1 answer
  • HELP MATH QUESTION GEOMETRY
    10·1 answer
  • Factors of 6 as far as possible
    14·2 answers
  • For every two students in a class who eats a hot lunch at school, three other students purchase from the a la carte line and 1 o
    11·1 answer
  • Add. 34.700 + 98.428
    5·1 answer
  • Alex wrote checks on Tuesday for $35 and $40. He also made a deposit in his checking account of $170. Find the overall change in
    5·2 answers
  • The total cost of these 2 pens is 60p.
    13·2 answers
  • I can't think of any right answer?​
    11·2 answers
  • Please help me is for my homework​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!