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]
3 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]3 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
Round 919,827 to each place value in the table
Alchen [17]

Nearest 1000: 920,000

Nearest 100: 919,800

Nearest 10: 919,830

8 0
3 years ago
Read 2 more answers
If the pottery maker works 6 hours each day,how long does it take to make 1 vase
nlexa [21]
The answer is A. he can make 1 in 2 hours
6 0
3 years ago
Read 2 more answers
When Liz woke up in the morning, it was 6°F. By the late afternoon, the temperature had dropped 9°F.
Reil [10]

Answer:

-3°F

Step-by-step explanation:

6 - 9 =  -3°F

4 0
3 years ago
Which of the following are NOT congruent?
algol13

the adjacent angles in a parallelogram

5 0
3 years ago
Determine the vertex of the quadratic function.
const2013 [10]

Answer:

B

Step-by-step explanation:

The vertex is the turning point of the quadratic function.

In this case it lies on the x- axis at (2, 0 ) → B

6 0
3 years ago
Read 2 more answers
Other questions:
  • There is one integer for which there does not exist another integer with the same absolute value, What is that integer?
    10·2 answers
  • Complete the table and find the balance A if $5000 is invested an an annual rate of 6% for 15 years and compounded n times a yea
    8·1 answer
  • A boat that can travel 18 mph in still water can travel 21 miles downstream in the same amount of time that it can travel 15 mil
    7·1 answer
  • Solve the system of linear equations x - 3y = -3 x + 3y = 9
    9·2 answers
  • How many square feet of outdoor carpet will we need for this whole?
    9·2 answers
  • the auto parts department of an automotive dealership sends out a mean of 66 special orders daily. what is the probability that,
    5·1 answer
  • Need help with area for solving this
    11·2 answers
  • What's the measure of X
    11·1 answer
  • Find the height of a prism whose volume is 108 cm3<br> and the area of the base is 15 cm2.
    11·1 answer
  • Question: Best Pest Control charges $55 for a service call, plus $80 per hour of labor. If x
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!