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
Ket [755]
3 years ago
5

Two planes are orthogonal if their normal vectors are orthogonal. Find the equation of a plane that is orthogonal to the plane 3

x − y + 2z = 1 and that contains the points (1, 1, 2) and (2, 2, 1).
Mathematics
1 answer:
erica [24]3 years ago
4 0

Answer:

X-5Y-4Z+12=0

Step-by-step explanation:

Plan P1 = 3x-y+2z=1. with A=(1,1,2); B=(2,2,1); we must will find V1 from P1,

V1 =(3,-1,2) and AB = (2-1,2-1,1-2) = (1,1,-1) now we find V2 by vector product.

V2 =V1.X,AB =\left[\begin{array}{ccc}i&j&k\\3&-1&2\\1&1&-1\end{array}\right] = i+2j+3k-(2i-3j-k)=V2=(-i+5j+4k); (aplying sarrus method)

according to general plan formula a(X-Xo)+b(Y-Yo)+c(Z-Zo); V=(a,b,c)

V2=(-1,5,4) ; A=(1,1,2);  so -(X-1)+5(Y-1)+4(z-2)=0  → -X+1+5Y-5+4Z-8=0  →

-X+5Y+4Z+1-5-8=0 → -X+5Y+4Z-12=0 (-1) → Plan equation X-5Y-4Z+12=0

You might be interested in
The Rodriguez Family is starting to save 15% of their income per month for college savings for their children. They earn $8,540
Lunna [17]

Answer:

1,281

Step-by-step explanation:

6 0
3 years ago
An office supply company is shipping a case of wooden pencils to a store. There are 64 boxes of pencils in a case. If each box o
I am Lyosha [343]
The wooden pencils weigh 10 pounds all together.
3 0
3 years ago
Read 2 more answers
BIG POINTS!!! (p-.20 p=new price.) "Natasha bought a racket that was marked down 20%" (my equation was in first parenthesis) If
MariettaO [177]
120-(120*20%) = 120-24 = 96
Natasha paid $96.
0.8p represents how much the price was when Natasha paid.
3 0
3 years ago
Joey’s mom baked (30) cookies. That night, there were 21 cookies left. What percentage of the cookies were eaten?
katrin2010 [14]

Answer:

About 97%

Step-by-step explanation:

5 0
3 years ago
Write a proportion and then solve to find the missing measure of the reduced rectangle. What two ratios can be used in the propo
lions [1.4K]

Answer:

What two ratios can be used in the proportion?

8/3 and 18/x

What is the value of a missing measure?

6.75 in.

Step-by-step explanation:

im right trust me. im just cool like that.

8 0
3 years ago
Other questions:
  • WILL MARK BRAINLIEST HELP QUICK Find the sum of the digits of the number 6+66+666+6666 + ... +666...66, where the last number co
    14·1 answer
  • The map shows the length (in miles) of shoreline along the Gulf of Mexica for each state that borders the body of water. What is
    12·1 answer
  • How do I do these problems?
    9·1 answer
  • Implicit differentiation in terms of x and y
    5·1 answer
  • Prove that the diagonals of a parallelogram bisect each other. The midpoints are the same point, so the diagonals _____
    7·1 answer
  • What are solutions to 40x^22-30x=135
    11·1 answer
  • What is the difference of the polynomials?<br> (m2n2- 7)-(mm+4)
    15·1 answer
  • SALE 40% OFF!<br> If a badminton set has a sale price of $18, what was the original price?
    13·2 answers
  • ¿ Qué porcentaje de 70 es 35?
    5·1 answer
  • 30. What is the degree of the polynomial?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!