Find the perpendicular distance from the point P(9,11,−8) ft to a plane defined by three points A(1,9,−4) ft, B(−4,−8,6) ft, and C(−1,−2,2) ft

Distance = ______ ft

Answers

Answer 1

Answer:

  0 ft

Explanation:

The equation of the plane can be found from the cross product AC×BC. That vector is ...

  N = (2, 11, -6) × (-3, -6, 4) = (8, 10, 21)

Then the equation of the plane is ...

  8x +10y +21z = 14 . . . . . 14 = N·A

Point P satisfies this equation, so is on the plane. The distance is 0 feet.

  8(9) +10(11) -8(21) = 72 +110 -168 = 14


Related Questions

What test should be performed on abrasive wheels

Answers

Answer:

before wheel is put on it should be looked at for damage and a sound or ring test should be done to check for cracks, to test the wheel it should be tapped with a non metallic instrument (I looked it up)

The  test that should be performed on abrasive wheels is the ring test.

What is the purpose of the ring test on the  abrasive wheels?

The ring test can be regarded as one of the mechanical test that is used to know whether the wheel is cracked or damaged.

To carry out this test , the wheel will be arranged to be in the 45 degrees each side and it is then aligned to be at a specific diameter, this can be done by the expert in this field to know the state of that wheel.

Learn more about  ring test  on:

https://brainly.com/question/4621112

#SPJ9

A spherical Gaussian surface of radius R is situated in space along with both conducting and insulating charged objects. The net electric flux through the Gaussian surface is:______

Answers

Answer:

Ф = [tex]\frac{Q}{e_{0} } [ \frac{\frac{4\pi }{3 }(R)^3 }{\frac{4}{3}\pi (R)^3 } ][/tex]

Explanation:

Radius of Gaussian surface = R

Charge in the Sphere ( Gaussian surface ) = Q

lets take the radius of the sphere to be equal to radius of the Gaussian surface i.e. R

To determine the net electric flux through the Gaussian surface

we have to apply Gauci law

Ф = 4[tex]\pi r^2 E[/tex]

Ф = [tex]\frac{Q_{enc} |}{e_{0} }[/tex]

    = [tex]\frac{Q}{e_{0} } [ \frac{\frac{4\pi }{3 }(R)^3 }{\frac{4}{3}\pi (R)^3 } ][/tex]

the pressure rise, across a pump can be expressed as where D is the impeller diameter, p, is the fluid density, w is the rotational speed, adn q is the flowrate. determine a suitable set of dimensionless parameters

Answers

Answer:

hello your question is incomplete below is the complete question

The pressure rise Δp across a pump can be expressed as Δp = f(D, p, w, Q) where D is the impeller diameter, p is the fluid density, w is the rotational speed, and Q is the flowrate. determine a suitable set of dimensionless parameters

answer : Δp / D^2pw^2 = Ф (Q / D^3w )

Explanation:

k ( number of variables ) = 5

r ( number of reference dimensions ) = 3

applying the pi theorem

hence the number of pi terms = k - r = 5 - 3 = 2

You are playing guitar on a stool that is 22" tall. How tall is the stool if it is expressed as a combination of feet and inches?

Answers

Answer:

1 foot 10 inches

Explanation:

1 foot = 12 inches + 10 inches = 22 inches

irhagoaihfw

Other Questions
Jim mowed 5/9 of a lawn. Sarah mowed 1/3 of the lawn. What fraction of the lawn remained to be mowed? what is Mexicos type of government, and the parts of its government. Factor (Hint: Put in Standard Form First)d^2+ 10d + 20 = - 4What is the factored form? anyone have mocks gcse for year11 maths edexcel i need more help i'm so bad at this subject z/4 - 1/2 = 9? pls steps and test Help asap----------------- 7) If x-2 is a factor of P(x)= x^2-5x+a then find the value of a2346please answer Which of the binomials below is a factor of this trinomial? X2 + 8x+16 A. X-4 B. X-8 C. X+4 D. x+8 What is meant by activity analysis? Give 3 criteria for determining whether an activity adds value. balance this chemical equation pleaseee Bill makes $30.00 per day. He makes twice as much as hack makes before jacks salary was doubled. How much does jack make now? PLEASE HELPWhat type of conflict is present as Bedford searches to find the sphere before sunset in The First Men in the Moon?man vs. selfman vs. manman vs. societyman vs. nature Someone Plzzzz Help!?! Which political party has the most executive orders in history? Why is it important to recognize which patients cannot receive blood thinners? O A. Blood thinners can cause uncontrollable bleeding in certain patients. B. Blood thinners can cause heart attacks in certain patients, O C. Blood thinners can cause blood clots in certain patients. O D. Blood thinners can lead to infections in certain patients. i need help with this asap Which statement defines the problem-solution organizational structure? It is used to highlight the similarities and differences between two people, objects, or ideas. It is used to place the events of an episode or an experience in time order. It is used to present issues or conflicts, and then offer suggestions on how they might be resolved. It is used to analyze what caused a particular problem. This can be found in plant cells, but NOT in animal cells.A: mitochondriaB: vacuoleC: cell wall What happens to the mechanical advantage of a machine if the output force is less than the input force? What must happen to output distance? Give an example of a machine that does this? You notice that when you turn off your bedroom lights, the kitchen lights can stay on. Based on this observation, what kind of circuit was used to wire the lights in your house? A. Parallel circuits because there are two or more paths for the current to flow. B. Series circuits because the current through each component is the same. C. Series circuits because there are two or more paths for the current to flow. D. Parallel circuits because the current through each component is the same.