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
AlekseyPX
3 years ago
6

Determine as a linear relation in x, y, z the plane given by the vector function F(u, v) = a + u b + v c when a = 2 i − 2 j + k,

b = i + 2 j + 3 k, and c = 2 i + j + 2 k .
Mathematics
1 answer:
Ostrovityanka [42]3 years ago
3 0

Answer:

2x - y - 3z = 0

Step-by-step explanation:

Since the set

{i, j}  = {(1,0), (0,1)}

is a base in \mathbb{R}^2

and F is linear, then

<em>{F(1,0), F(0,1)}  </em>

would be a base of the plane generated by F.

F(1,0) = a+b = (2i-2j+k)+(i+2j+k) = 3i+2k

F(0,1) = a+c = (2i-2j+k)+(2i+j+2k) = 4i-j+3k

Now, we just have to find the equation of the plane that contains the vectors 3i+2k and 4i-j+3k

We need a normal vector which is the cross product of 3i+2k and 4i-j+3k

(3i+2k)X(4i-j+3k) = 2i-j-3k

The equation of the plane whose normal vector is 2i-j-3k and contains the point (3,0,2) (the end of the vector F(1,0)) is given by

2(x-3) -1(y-0) -3(z-2) = 0

or what is the same

2x - y - 3z = 0

You might be interested in
URGENT PLEASE HELP HW DUE!!
Nostrana [21]

Answer:

A.

Step-by-step explanation:

Since you want an answer option with the numbers with 3 less after every day, it would be the first option, since it goes down by 3 psi by every day.

3 0
3 years ago
Read 2 more answers
Julie and Jan’s brother also withdrew money from his savings account on Monday. He made three withdrawals and withdrew $10 more
Zepler [3.9K]

Answer:

possible amounts could be $35, $55, $75

hope this helps!

Step-by-step explanation:

8 0
3 years ago
Can any one help and fast please
sashaice [31]

Answer:

we conclude that in the second step, 3 should have been subtracted from the right side as well on the left side.

Step-by-step explanation:

Given the expression

4 < -2x + 3 < 9

SECOND STEP

subtract 3 from the right-hand side as well as on the left-hand side

4-3

SOLVING THE REMAINING COMPLETE COMPRESSION

1 < -2x < 6

Divide all parts by -2

  • Please note that multiply or divide an inequality by a negative number flips the inequality sign.

so the expression becomes

\frac{1}{-2}\:

\frac{1}{-2}\:>x\:

Hence, from the explanation, we conclude that in the second step, 3 should have been subtracted from the right side as well on the left side.

3 0
3 years ago
There are 30 major league baseball teams and 32 national football league teams. The expanded roster for major league baseball te
Helga [31]

Answer:

Step-by-step explanation:

32(53) - 30(40) = 1696 - 1200 = 496 <==

5 0
3 years ago
Hey! Someone help me please
makvit [3.9K]
A reduction. Because it’s between 0 and 1. It shrinks.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Solve the inequlity 2s+5s+12=132<br> A. s=-30<br> B. s=40<br> C. s=120<br> D. s=9
    5·1 answer
  • How does Mr. Peters get to ask for three wishes?
    10·1 answer
  • each side of triangle xyz has length 9 .Find the area of the region inside the circumcircle of the triangle but outside the tria
    9·1 answer
  • Answer the questions to determine if events N and V independent. Round your answers to the nearest hundredth. P(N|V) = P(N) = Ar
    5·1 answer
  • The perimeter of a Parallelogram is 72 meters.
    10·1 answer
  • How many meters in 1 kilometer
    6·2 answers
  • At soccer practice, for every 5 minutes that Bob runs, e spends 20 minutes practicing dribbling. If Bob keeps the same ratio and
    5·1 answer
  • If the width and length of a rectangle are both increased by 10%, by what percent does the area of the rectangle increase?
    12·1 answer
  • MATHEMATICAL CONNECTIONS The two polygons are similar. Find the values of x and y.
    12·2 answers
  • Asha makes a conjecture that the perimeter of a square whose sides are an odd integer is always even. Which choice is the best p
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!