5

4. Find a vector equation with parameter t which goes through the point (1,-1,3) and is perpendicular to the plane 7x + 5y + 32 = 5....

Question

4. Find a vector equation with parameter t which goes through the point (1,-1,3) and is perpendicular to the plane 7x + 5y + 32 = 5.

4. Find a vector equation with parameter t which goes through the point (1,-1,3) and is perpendicular to the plane 7x + 5y + 32 = 5.



Answers

Find equations for the planes.
\begin{equation}\begin{array}{c}{\text { The plane through } P_{0}(2,4,5) \text { perpendicular to the line }} \\ {x=5+t, \quad y=1+3 t, \quad z=4 t}\end{array}\end{equation}

To find the equation off. Here's a question off the plan. That's that they were going through the bone Be two for five and every perpendicular to the line X in college. If I blessed day, why echo to one plus treaty and the ECOWAS you 40 in that you get a question under plan, we need two things. The 1st 1 will be the phone on the plan and the second thing would be the normal that here, the opponent of plan we already have is here is given to us the normal on the plan notice Standard plan we looking for in this perpendicular chewed the line here and fund ally, we can find a darshan Beto ico Joe. Those were in phone number, etc. So we have the echo 213 and far. And because of the perpendicular, this dire estimate of the live will be the same as the normal vector off the plan. So we have two things or two things already the point and the normal vector. Already they're found, the answer will be we have the one times X minus to plus tree temps. Why minus far and then plus for times, the minus five coaches zero on it is the equation in the plan here

From the given problem we end up finding our components um to be from the parametric form we have our components of our normal factor are going to be too negative one. You have to Mhm. And then with the point that we have we know that it's going to be two times act minus the point. So x minus negative one plus one. And then we're gonna have plus negative one times y minus four. And then we'll have plus Z times or plus a negative too times Z minus zero equals zero. So we end up getting is two x plus two minus y plus four minus two Z. And then we can end up adding these components, we get six so we can add the six right here and this is our final equation.

Person. We need to find a question on the plan. It's a stent is I'm person through the boned. Two months. 35 and it's perpendicular. Judah lie Even that ex encourage attitude tree. Why include you know, one plus treaty in the culture five plus 40? Because the plan is perpendicular to the line. Therefore, did normal, we extended. It is the reduction but the number line and the tradition with underlying would be the card officially in front of a T. Forget because, you know, 23 and four now even the pond Onda normal Better you can have the question of plan will be Geo Tim's exponents, Jew History Temps Why minus monies will be pressed three plus all times the minus five coaches zero it was simplifying Gannett your X minus four plus three y plus nine plus for the finest 20 coaches. Zero. They're gonna chew X plus three y plus for Z. You were recovered. You wave around the 20 for minus nine. You could you fit in here

Whereas to find the parametric equation of a line we're told this line l in part a goes through the point P with coordinates to five negative three and is in the direction of the Vector V. In standard form is four I minus five J plus seven K. Now, in order to find the Parametric equation of l, well, we need a direction, vector and a point. We have both of these things and so l yeah, they call it El of T is the vector valued function. And so we have tee times the direction vector plus the point. So this is going to be 40 plus two negative five t plus five and 70 minus three. Then in part B, we're told that our line l is perpendicular to the plane defined by the equation two x minus three y plus seven z equals four and contains the point p with coordinates one negative 57 Now the plane has normal and which is to I minus three J plus seven K. And because our line is perpendicular to this plane, it follows that the direction vector of our line l is parallel two this normal vector n so we can actually take n as our direction vector. And we also have a point p lying on the line and so a parametric equation for this line. L well, as a vector function. This is Yeah, but we have t times n plus p, which is to t plus one negative three T minus five and 70 plus seven.


Similar Solved Questions

5 answers
Problem POLAR COORDINATES_Dctcrminc the volume the rcgian thl lies bctwccn the sphcrc r? +v" + 22 and inside thc cylinderabovt chc plieno
Problem POLAR COORDINATES_ Dctcrminc the volume the rcgian thl lies bctwccn the sphcrc r? +v" + 22 and inside thc cylinder abovt chc plieno...
5 answers
Let f(z) PV(zi) = siLogz Show that f(z) is analytic in {2 = 0| _ Argz #w} Show that f' (2) = PV(izi-1).
Let f(z) PV(zi) = siLogz Show that f(z) is analytic in {2 = 0| _ Argz #w} Show that f' (2) = PV(izi-1)....
5 answers
Ona" mal compressed trom 10.0 L to 2.00 L isothermally roversibly: The inial pressure bar? What are AUfor this procoss (in Joules)? Entar Your anewen wlth Ioast three sIgnltcant flguros. Do not include units part 0l your answerbar. Wnat [ tha linal paeeieNumborNumberNumborAue NumberConsldor Ina tumo comprostion wna calttod Oul KtovoraIbly (6t aull [bothorrnally) Would tne mhareucu (ol ma maanib de Iha Wrork c4cultod JDovCAtannundalrdrautauniaucaHorathan
Ona" mal compressed trom 10.0 L to 2.00 L isothermally roversibly: The inial pressure bar? What are AUfor this procoss (in Joules)? Entar Your anewen wlth Ioast three sIgnltcant flguros. Do not include units part 0l your answer bar. Wnat [ tha linal paeeie Numbor Number Numbor Aue Number Consld...
5 answers
Create a tournament graph hased on the results of the following NHL games completed this week: Pittsburgh 3 Colorado 2 Tampa Bay Boston 3 Montrcal 4 Minncsota 0 Pittsburgh 4 Dallas 2 Colorado 5 Florida 4 Toronto 4 Boston 3 Dallas 4 Philadelphia Montreal 5 St. Louis 2 Colorado 6 Tampa Bay Minnesota 4 Montreal 3 St. Louis 3 Colorado
Create a tournament graph hased on the results of the following NHL games completed this week: Pittsburgh 3 Colorado 2 Tampa Bay Boston 3 Montrcal 4 Minncsota 0 Pittsburgh 4 Dallas 2 Colorado 5 Florida 4 Toronto 4 Boston 3 Dallas 4 Philadelphia Montreal 5 St. Louis 2 Colorado 6 Tampa Bay Minnesota 4...
5 answers
PreviousProblem ListNextpoint) Parameterize the plane through the point (4, 2,-1) with the normal vector (~4,4,4)7(8,t) (Use and for the parameters In your parameterization; and enter your vector as single vector; with angle brackets: e.g , as 1+s+t,s-t,3-t>)
Previous Problem List Next point) Parameterize the plane through the point (4, 2,-1) with the normal vector (~4,4,4) 7(8,t) (Use and for the parameters In your parameterization; and enter your vector as single vector; with angle brackets: e.g , as 1+s+t,s-t,3-t>)...
5 answers
Mechanism #1_ Suggest mechanism for the following reaction: As you work; remember: since acid is present; there can be no negative charges be sure not to generate intermediates with more than one positive chargeNHzHzoHzoHzp'NHz starting maleralintarmediate mechanismOrocucisReactions, Parf Provide the reactants, reagents OI products of the following reactions_PCCDCCrocmtemperatureCH MgBr 2 HzosOCk pyridinePpn}
Mechanism #1_ Suggest mechanism for the following reaction: As you work; remember: since acid is present; there can be no negative charges be sure not to generate intermediates with more than one positive charge NHz Hzo Hzo Hzp 'NHz starting maleral intarmediate mechanism Orocucis Reactions, Pa...
5 answers
Let f(x) = 2x2 16x+1_ Find the values of x for which the slope of the b. Find the values of x for which the curve y = f(x) is 0. slope of the curve y = f(x) is ~4_ a. The slope of the curve is 0 atX= (Simplify your answer Use comma to separate answers as needed ) b. The slope of the curve is -4 atx= (Simplify your answer: Use a comma to separate answers as needed )
Let f(x) = 2x2 16x+1_ Find the values of x for which the slope of the b. Find the values of x for which the curve y = f(x) is 0. slope of the curve y = f(x) is ~4_ a. The slope of the curve is 0 atX= (Simplify your answer Use comma to separate answers as needed ) b. The slope of the curve is -4 atx=...
5 answers
Molecular equation;, Totalionic equation; Net ionic Type of &n equationsAolecular equatioHolecular equation: HFetal ienie eduation: Net Tonic equation:Molectlar equatan: pauatiobic cquation:NelQic_equation'HCH;Oz+ NaQH Molecular equation: Total ionic equation: Net ionic equation:Fez(SO4)s+ NaQH Molecular equation: Total ionic equation: Net ionic equation:
Molecular equation;, Totalionic equation; Net ionic Type of &n equations Aolecular equatio Holecular equation: HFetal ienie eduation: Net Tonic equation: Molectlar equatan: pauatiobic cquation: NelQic_equation' HCH;Oz+ NaQH Molecular equation: Total ionic equation: Net ionic equation: Fez(S...
5 answers
Problem 6: [8 pts] Suppose that f(c) = (k? + l)z* k=0[4 pts] Let g(c) = f(z) cos(e). Calculate 9" (0).flz II 4 pts] Calculate lim 070 sin(x4explain why the limit does not exist_
Problem 6: [8 pts] Suppose that f(c) = (k? + l)z* k=0 [4 pts] Let g(c) = f(z) cos(e). Calculate 9" (0). flz II 4 pts] Calculate lim 070 sin(x4 explain why the limit does not exist_...
5 answers
Consider the reaction described by the following equation.CzH,Br_(aq) + 31-(a4)Gu,lg) + 2r (aq)+1(aq)The rate law israte = K[c,H,Br,J[s-]wherek-5.46 * 10M-What are the missing entries in the following table?Inilial rate of formation of CzHa (M' s"^Run[CzHABrzJo (M) [F-Jo (M)0.2230.001090.2230.0005430.2230.223NumberNumberNumber
Consider the reaction described by the following equation. CzH,Br_(aq) + 31-(a4) Gu,lg) + 2r (aq)+1(aq) The rate law is rate = K[c,H,Br,J[s-] where k-5.46 * 10 M- What are the missing entries in the following table? Inilial rate of formation of CzHa (M' s"^ Run [CzHABrzJo (M) [F-Jo (M) 0.2...
3 answers
In numerical model of one-dimensional fluid flow, successive values, Un; of the solution are related for n 2 1 by the difference equation(un+l Un-1) = b(un+1 2un + Un-1) where a and b are positive constants_ Given the boundary conditions Uo and UN = 1, find the solution to the equation and show that successive values of un will have alternating signs if a > b.
In numerical model of one-dimensional fluid flow, successive values, Un; of the solution are related for n 2 1 by the difference equation (un+l Un-1) = b(un+1 2un + Un-1) where a and b are positive constants_ Given the boundary conditions Uo and UN = 1, find the solution to the equation and show tha...
5 answers
14- [0.55/1 Points]DETAILSPREVIOUS ANSWERSHOLTLINALLetCompute each of the following: (A graphing calculator is recommended ) (a)10(b) IluzllV3943u1 2ugll;Su
14- [0.55/1 Points] DETAILS PREVIOUS ANSWERS HOLTLINAL Let Compute each of the following: (A graphing calculator is recommended ) (a) 10 (b) Iluzll V39 43u1 2ugll; Su...
1 answers
In Exercises $19-24$ , evaluate the expression without using a calculator. $$ 5^{\log _{5} 8} $$
In Exercises $19-24$ , evaluate the expression without using a calculator. $$ 5^{\log _{5} 8} $$...
5 answers
Qecetijo ?Khatewokmeol te "bow" that results (rom rotating the graph ofy = x$,0 < $ < 27,around the y-axls: Write the exact answer Do notRaxavs 2 PaingKeyp Keyboard shoreul
Qecetijo ? Khatewokmeol te "bow" that results (rom rotating the graph ofy = x$,0 < $ < 27,around the y-axls: Write the exact answer Do not Raxavs 2 Paing Keyp Keyboard shore ul...
5 answers
Find an equivalent algebraic expression for sec(arctan(2)) |Vr? + 1
Find an equivalent algebraic expression for sec(arctan(2)) | Vr? + 1...
5 answers
True (ALor False (BJ: Vision impairment would typically occur (NOT rare exceptions!) if damaged occurred to the: Optic nerve Oculomotor nerve Abducens nerve Occiptal lobe of the cerebrum HypothalamusTrue (Al or False (BJ: Breathing impairment would typically occur (NOT rare exceptionsi) damaged occurred the: pons 10, Corpus callosum Medulla oblongata Cerebellum Phrenic nerve Vagus nerve
True (ALor False (BJ: Vision impairment would typically occur (NOT rare exceptions!) if damaged occurred to the: Optic nerve Oculomotor nerve Abducens nerve Occiptal lobe of the cerebrum Hypothalamus True (Al or False (BJ: Breathing impairment would typically occur (NOT rare exceptionsi) damaged occ...
5 answers
Match the pointpolar coordinates with either A, B, C, or D on the graph:Choose the correct letter below which represents the point(-45)
Match the point polar coordinates with either A, B, C, or D on the graph: Choose the correct letter below which represents the point (-45)...

-- 0.018912--