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
qwelly [4]
3 years ago
8

) The points (1, 0, 3), (1, 1, 1), and (−2, −1, 2) lie on a unique plane a1x1 + a2x2 + a3x3 = b. Using your previous answers, fi

nd an equation for this plane. (Hint: think about the relationship between the previous system and the one you would need to solve in this question.)

Mathematics
2 answers:
Rudik [331]3 years ago
6 0

Answer:

x1-2x2-x3= -2

Step-by-step explanation:

Substitute the three points to get three equations:

a1+0a2+ 3a3=d --------------eq i

a1+a2+a3=d----------------eq ii

-2a1-a2+2a3=d---------------eq iii

subtract eq i from eq ii

a2-2a3=0 ----------- eq iv

now add eq iv to eq iii

-2a1=d ------- eq v

put eq v in eq i

a1 + 3a3=-2a1

a3=  -a1 ----------- eq vi

put eq vi in eq iv

a2-2(-a1)=0

a2= -2a1 ------ eq vii

put eq v, eq vi and eq vii in the equation of plane

a1x1+ a2x2+a3x3=d

a1x1 -2a1x2-a1x3=-2a1

x1-2x2-x3= -2

Akimi4 [234]3 years ago
6 0

Answer:

2x₁ - x₂ + x₃ = 2

Question in full

(a) Find the general solution for the following system of linear equations:

z2 + 3z3 − z4 = 0

−z1 − z2 − z3 + z4 = 0

−2z1 − 4z2 + 4z3 − 2z4 = 0

(b) Give an example of a solution to the previous system of linear equations.

(c) The points (0, 1, 3), (1, 1, 1), and (−1, −2, 2) lie on a unique plane in R 3 , defined by an equation of the form a1x1 + a2x2 + a3x3 = b. Using your previous answers, find an equation for this plane. (Hint: think about the relationship between the previous system and the one you would need to solve in this question.)

Step-by-step explanation:

The augmented matrix is \left[\begin{array}{ccc}1&2&3&0\\4&5&6&0\\7&8&9&0\end{array}\right]

The echelon form

The general solution and the sample solution

as well as the equation of the plane

are given in the attached solution below

You might be interested in
Brainliest fir CORRECT answer ​
viktelen [127]

Answer:

y ≈ 5.2

Step-by-step explanation:

∠ F = 180° - (42 + 48)° ← sum of angles in a triangle

∠ F = 180° - 90° = 90°

Thus Δ DEF is right at F

Using the sine ratio in the right triangle

sin48° = \frac{opposite}{hypotenuse} = \frac{DF}{DE} = \frac{y}{7} ( multiply both sides by 7 )

7 × sin48° = y , then

y ≈ 5.2 ( to the nearest tenth )

4 0
3 years ago
Someone please help!!
pantera1 [17]

The answer I got was 2,423,000 million square miles. If there is a choice that says that then it’s the answer. If not, I’m probably wrong.

Hope this helps!

7 0
3 years ago
Read 2 more answers
Answer pls thank you
Luba_88 [7]

Step-by-step explanation:

l

  1. lcm 3
  2. use the lcm to divide the answers by 3

7 0
3 years ago
The tree is tilted 14 degrees. Find the value of x
Mashutka [201]
I think it's 76 degrees
8 0
3 years ago
Read 2 more answers
How do I find the slope<br>​
Nataly [62]
Slope= 3/2

CORRECT IF WRONG!!
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the constant proportionality for the relationship on the graph​
    14·2 answers
  • Since a middle school? opened, the girls' basketball team has had the same record every season. The team has won a total of 156
    11·1 answer
  • Help help me plsssssSss
    12·1 answer
  • 3 letters without replacement 4 letters A B C D how many ways can this be done if the order of the choices matters
    9·1 answer
  • How do you write 3x-y=14 in slope intercept form
    5·1 answer
  • 9a+4b+4(-4a+2b)-7<br> What the answer
    6·1 answer
  • What is the following product?
    12·1 answer
  • 7(3x -4) = 49 <br><br><br><br> can you help me
    9·1 answer
  • Tickets are arranged from 1 to 25 at a ticket counter. if one of the tickets is drawn at random whag is the probability that the
    5·1 answer
  • Use the triangle below to find cos V.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!