Hw.2 Find the the line x=2,423+2t,22-2-2t)witin the plane -C6x +3y-42=-12)t0the plane (x+y+7=2)- distancefrom the Pointef intersection of

Q: Find the requested equations below Find some symmetric equations for the line formed by the…

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Q: .Find the equation and sketch the plane that contains the points (2, 6, 1), (-4, 9, -1) and (4, 3,…

A: Equation of plane is 3x+2y+6z = 12

Q: b) Use the idea in part (a) to determine an explicit one-to-one correspondence between zt and the…

A: as you asked only the solution for (b) , the solution of the part (b) is given below...

Q: 7. a) Find the equation of the plane passes through the point P(1,2,-1), perpendicular to…

A: We have to solve given problems:

Q: (x = t r:{y = -t (z = 1+ 4t concurrent, and if so, determine the point P common to them. Check if…

A: Let the equation of a line passes through the point x0,y0,z0 with the direction vector v→=l,m,n be…

Q: The line whose equation is given as: (x-2z-2=0, y-22 -0) intersects the plane (x-2y+2-1-0) at the…

A: Given: x-2z-2=0 y-2z=0 equation of plane x-2y+z-1=0

Q: Which point(s) lie in the plane 2x + y - z = 10? a) (0, 0, 10) c) (2, 4, - 2) b) (5, 3, - 3) d) (-3,…

A: Given:plane: 2x+y-z=10

Q: The planes x - 2y + 32 - 3 =0 and 3x + y - z + 5 =0 are perpendicular. Select one: True False

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Q: Determine the line of intersection between the following planes 12. 5x+2y-7= 9 and -2x+8y +9= = 3.

A: Given: The planes are 5x+2y-7z=9 and -2x+8y+9z=3 To find the line of intersection of the given…

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: Find the intercepts of the plane 4x+y+10z=40 . Write your answers as points (a,b,c) where a,b and c…

A: Given equation of the plane is 4x+y+10z=40. We have to find different intercepts.

Q: Answer the questions in detalied steps and show work. (7 and 8)

A: Step 1: Step 2:   Take x-axis and y-axis                 they intersect at (0,0) in two-space and…

Q: Q 10: a) Find the point on the line jo ining P.(4-3) aud P (,S,-1) thut is () of the way from P to…

A: Given :  P1=x1,y1,z1=1,4,-3P2=x2,y2,z2=1,5,-1 that are being divided in the ratio m:n=2:3Find…

Q: 7x + 3y + 4z = 5, and 21x + 9y +12z = 13

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Q: 3) Find the distances: a. Between ₁ = (3 + t, −2+ 3t, -t) and 1₂ = (1 + 2t, t, 5+ 4t). b. Between…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: ans ) Find the lengthaf the Projection of the line jeining (-1,2,) ane -19 2) on the Plane…

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Q: b) Find the intersection point of the line Lix-1.y-3+t, z4+2t with xz-plane.

A: Here we have given equation of line and we have to find the point of intersection of given line with…

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: 2. Which of the following points lie on the plane 11x-2y-4z + 2 = 0 A) (4, 2, 6) B) (11,2,-4) C) (4,…

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Q: dw. Findequatian fthe plan that Passer thraugh the originand thePaint P and parallet te the tineof…

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Q: 2. Find the eanation of the plane Containing the point (2,3,3)'and the line Of intersÉCtion 'of the…

A: We have to find the equation of plane containing the point (2, 3, 3) and the line of intersection of…

Q: In triangular space it is sufficient to know two different points to find the line passing through…

A: Given statement is 'True'