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
Mila [183]
3 years ago
13

Find the equation of the plane that is parallel to the vectors left angle 3 comma 0 comma 3 right angle and left angle 0 comma 1

comma 3 right angle​, passing through the point (2 comma 0 comma negative 1 ).
Mathematics
1 answer:
Sholpan [36]3 years ago
4 0

Answer:

x + 3y -z - 3 = 0      

Step-by-step explanation:

We have to find the equation of plane that is parallel to the vectors

\langle 3,0,3\rangle, \langle0,1,3\rangle

The plane also passes through the point (2,0,-1).

Hence, the equation of plane s given by:

\displaystyle\left[\begin{array}{ccc}x-2&y-0&z+1\\3&0&3\\0&1&3\end{array}\right]\\\\=(x-2)(0-3) - (y-0)(9-0) + (z+1)(3-0)\\=-3(x-2)-9y+3(z+1)\\\Rightarrow -3x + 6 - 9y + 3z + 3 = 0\\\Rightarrow 3x + 9y -3z -9 = 0\\\Rightarrow x + 3y -z - 3 = 0

It is the required equation of plane.

You might be interested in
Answer 6s^5t x s^4t^2
babunello [35]

Answer:

6s⁹t³

Step-by-step explanation:

6s⁵t ₓ s⁴t² =

= 6ₓs⁵⁺⁴t¹⁺²

= 6s⁹t³

8 0
3 years ago
Read 2 more answers
0.3y+ z y ​ 0, point, 3, y, plus, start fraction, y, divided by, z, end fraction when y=10y=10y, equals, 10 and z=5z=5z, equals,
artcher [175]

Answer:

  5

Step-by-step explanation:

Substitute the given values and do the arithmetic.

  0.3y+\dfrac{y}{z}=0.3\cdot 10+\dfrac{10}{5}=3+2=\boxed{5}

4 0
3 years ago
PLEASE HELP I'M NOT GOOD AT MATH
exis [7]

Answer:

It is a proportional relation.

Step-by-step explanation:

We have given that at Time (hours) = 2, Distance (miles) = 90 and at Time (hours) = 3, Distance (miles) = 135

Therefore, the speed we get from the first two row data = \frac{135 - 90}{3 - 2} = 45 miles/hr.

So, the speed is maintained through out the journey as

At t = 0, Distance = 0

At t = 2 hours, Distance = 2 × 45 = 90 miles

At t = 3 hours, Distance = 3 × 45 = 135 miles

At t = 5 hours, Distance = 5 × 45 = 225 miles

At t = 6 hours, Distance = 6 × 45 = 270 miles

Therefore, the values matches with the table.

Hence, it is a proportional relation. (Answer)

8 0
3 years ago
What is the diffinition of qutionmbra
Ber [7]

There is no such word as quationbra and I feel like you either spelled it wrong or you got an unreal word.

3 0
3 years ago
Simplify the following expression:
Alexus [3.1K]
Distributive property
a(b+c+d)=ab+ac+ad

-7(3e-2f+4)=-7(3e)-7(-2f)-7(4)=-21e+14f-28

now we have

-21e+14f-24+6e-2
group like terms
-21e+6e+14f-24-2
-15e+14f-26
5 0
3 years ago
Other questions:
  • What is 1/2x=-1/4y+2 in standard form
    12·1 answer
  • What is an isometry?
    6·2 answers
  • 101) Nicole was 16 years old twelve years ago.<br> How old is she now?<br> help asap please!!!
    7·1 answer
  • (3x^3)( 1/9x^2 - 6 + 2x)
    15·1 answer
  • If the vine continues to grow at this rate, it will be. Inches long at the end of 5 weeks
    8·2 answers
  • What could be the dimensions of the rectangle with an area of 260 square feet?
    10·1 answer
  • Which math operation determines the following pattern?
    14·2 answers
  • Calculate the quotient.
    10·1 answer
  • If an airplane pilot was told to rotate his plane while he was flying to Honolulu, would that be enough information for her to k
    11·2 answers
  • Solve for the unknown angle
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!