1 Ed ied the farmmehric equaton BL Me lme that passes Angh the pont md is pirpendizelor to the glpe plane plane: -2x+ 3y +52=8 fomt=(4,2,7) 47

Q: which of the toihts PC6,L3), Q (-5,-1,4), and R(0,3,8)15 c losest to the X2-Plane? which paint lies…

A: A point in 3D has (x,y,z) coordinates. A point on XY plane has (x,y,0) coordinates i.e. z=0 A point…

Q: and フドnd the eguafion f Plane hat Passes through PC1コーっる)mnel is Parallel te the Plane 3X++=7…

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Q: (a) Find and identify the traces of the quadric surface x2 + y2 - z2 = 36 given the plane.

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Q: Determine whether the planes are parallel, perpendicular, or neither. Зх — 15у — 12z — 2 %3D 0 (a)…

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Q: Please solve

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Q: HW Find the valume af theSelid beunded abave the Planc 2= x+2y+2,belw the X-y plane and Taterally…

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Q: Answer the fallowing muitiple-chorce awestion below algubra #11,K is aveal nmber and e is the lime…

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Q: 3-Find the equatium uf tue plone that is parllel and at (& units) Aujay From The plane (x-ay+t=3)

A: The equation of the given plane is  x-2y+z=3

Q: Draw a sketch of the plane of 4x – 4y + 2z – 9 = 0.

A: Solution

Q: 2 Wnte down the paranuetric equatun of the line l = a nB of intersection of the plane af given by…

A: Given planes are                                                         α:x+2y-3z=0β:2x-y+3z=4 we…

Q: Evaluate / x2 zdS, where S is the part of the plane z = 4+ 3x + y above the rectangle [0, 4] x [0,…

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Q: Fin He ara at tHe surface af the portion oF Hae Plane 2= 5-2X -9y

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Q: 4- Find The equation ofthe plane That the origin andat the poiat p(u1)ond at is parallel to theline…

A: Equation of plane

Q: a) Explain fully, atleast three possible relationships between two lines in R3 [c3] b) Which of the…

A: (a) The relationship between any two lines in ℝ3 is always one of the following three: They can be…

Q: Are the following planes parallel or perpendicular or none? 3r+2y-5z – 9 = 0, 3x– y+2z – 9 = 0

A: Consider the given plane. The general for of the plane is defined as, A1x+B1y+C1=DAnd,A2x+B2y+C2=D…

Q: Answer the following muitiple-chorce awestion belo alyebra #11. K is aveal nmber and e is the lime…

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Q: Which of the following points is on the xz plane? a) (1, -3, 0) b) (0, 4, 0) c) (0, 3, -2) O d) (2,…

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Q: o Find an equahion for the plane throught (l,-l,3) parallel fo the plane 3x ty+Z =7

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Q: Let r() = (In1, 1, 5). Find the equation of the osculating plane corresponding to1 = 1.

A: Find the point at t=1 the vector r(t)=lnt,t,t22 corresponds. lnt,t,t22=ln1,1,122=0,1,12=0,1,0.5…

Q: 3. Evaluate ff(+2y- )dS where S is the portion of z = 5= 2y + that lies over the triangle in the…

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Q: Frned the poind al on 2x+y + 2' =4 n hreh bangend plana アaralle l lo tk plane x-2y +62 =5. is

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Q: I, Use Stoke's theorem to evalueate S.Fidr, where F Cau2)= - it +x3 + 2î aind C is the Ceurve of…

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Q: Draw a sketch of the plane of 4x – 4y + 2z – 9 = 0. -

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Q: 4-) Find the a Cute augle between the liue joning the two Points AC42,3),B(5,1,7) , and the Plane…

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Q: 13) find the equ.f Plane Parallel From (3,2,-1) is twise ther distunce to the Plane 2X-9 +22=1 to…

A: Solution is given below:

Q: 7. If a =i+ 3j – k, b= 2i+ 4j – 2k and c = -i+2j+ 4k, find a number A such that d= a+b+ Ac is…

A: Given a=i+3j-k b=2i+4j-2k c= -i+2j+4k Find the  λ such that d= a+b+λc is parallel to the yz plane…

Q: 4-) Find the a Cute augle between the liue joning the two Points ACY2,3),B(5,1,7) , and the Plane…

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Q: 3. Consider the plane TT: 4x + 3y - 2z + 12 = 0. What is the relationship of the plane to each of…

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Q: 2. Which of the following describes a different plane than the other three? (a) x + 2y + 3z = 6 (b)…

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Q: Find and describe the intersection of the following line and plane: T:2x+3y-4z =-7 and r = (4,2,5)…

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Q: Determine the Point OF 3x +y+22 = 45 and the Line witth plaremetre eg dartons 1 = 1+t, y= 3 +2 € ,…

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Q: ) Find a lequabions for 6her line thirog gh Che porot (1,O.6) ond be the plane x t3y +2 -5- vecber…

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Q: O Find an equahion for the plane throught (1,-,3) parallel to the plane 3xy+Z=7

A: According to q&a guidelines I can do only 1question

Q: 4 Let L be perpendiculor to the plane x+2y+ 62 -0 a line which passes thraugh the polnt (-6,0,1) and…

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Q: 6. If the plane ax + by + cz = 30 through the points P(4, 1, 2) and Q(2,3, -1) is orthogonal to the…

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Q: 1. Find the equations of the planes that are exactly 4 units from the plane 2x-2y+z=6

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Q: // 2° zdS, where S is the part of the plane z = 4+ 2æ + y above the rectangle [0, 5] × [0, 3]…

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Q: Detrmine if the two planes 6x+18y+14z= -2 and the plane contaning the points (1,-1,9), (4,-1,2) and…

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Q: (a) Describe the 3 dimensional shape determined by the equation below. 12 - 2r – 26 + y² + 4y + 2² –…

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Q: 3 Show that the planes, x-2y+4z-13D0 and 3x-6y+8z=5, if so, find the distance * .between them…

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Q: Which of the following represents a plane surfac whose x-, y-, and z-intercepts are a, b, and c…

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Q: Prove that the planes (i) 12x – 15y + 16z – 28 = 0, (ii) 6x + 6y – 7z –8 = 0, and (üi) 2x + 35y -…

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Q: 7. If a -i+3j – k, b = 2i + 4j– 2k and c = d = a+b+ de is parallel to the yz-plane. -i+ 2j + 4k,…

A: given a=i+3j-kb=2i+4j-2kc=-i+2j+4k

Q: Let P be the plane 2r + u – 7 = 2 and let 0(1.0.3) be a poir

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Q: Determine whether the planes are parallel, orthogonal, or neither. 7x - 3y + z = 8 x + 4y + 5z = 1 O…

A: Given query is to find the angel between the plane.

Q: Answer the fellowing muitiple-chace awestion below algebra #8. an equaton of the plane Passing…

A: We need to find equation of plane passing through points.

Q: Find a Find a funds on the surdace 7=372y8 at which the feugend Planes is Parallel to the Plane…

A: We have to find the value of points on the surface

Q: Consider in R° the following planes: p:2x+y-3z=-18. 6:x-3y+4z=4. Let ë be a plane perpendicular to…

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