Consider the following. 3x + 3y + 7z = 63 Sketch a graph of the plane. 10 Z10 10 10 10 10 20 20 20 20 30 30 30 210 Z10 10 10 10 10 20 20 20 20 30 30 30

Q: Find parametrizations for the lines in which the planes 5x - 2y = 11, 4y - 5z = -17

A: Given: The given two planes  5x-2y=11 and 4y-5z = -17 are intersects.

Q: Consider the following. 3x + 3y + 7z = 63 Sketch a graph of the plane.

A: 3x+3y+7z=63 x intercept = (21,0,0) 3x+3*0+7*0=63 3x=63 x=21 y intercept = (0, 21,0) 3*0+3*y+7*0=63…

Q: 9. Find the equations of the planes that are parallel to 2.x - 2y + z = 5 such that the distance…

A: We will solve the problem.

Q: Consider the following. 3x + 3y + 6z = 54 Sketch a graph of the plane. NO 10 10 10 10 10 20 20 20 20…

A: To find x intercept substitute y=0 and z=0 To find y intercept substitute x=0 and z=0 To find z…

Q: 2. Find the distance of the point A : (1,0, 2) from the plane P: 3x +y+ z = 9.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

A: Solution

Q: Consider the following. 3x + 2y + 6z = 36 Sketch a graph of the plane. Z 10 Z 10 5. 5. 10 10 10 10…

A: Question is solved.

Q: Find the distance between the plane P:8x+3y+9%= 0 and the point (1,-5,20)

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Q: Find the trace of the plane 8x – 9y + 2z = -11 in the coordinate xz-plane.

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Q: The graph of (x/a) + (y/b) + (z/c) = 1 is a plane for any non-zero numbers a, b, and c. Which planes…

A: The graph of given plane is,

Q: Find the point of intersection, if any, of the plane T: 4x + 2y – 2z=1 and the line l : 3 +t 1

A: Point of intersection of line and plane

Q: Consider the following. z10 3x + 2y + 6z = 36 Sketch a graph of the plane. z10 15 10 10 WebAssign…

A:

Q: Find the intersection of the following geometric objects: the plane 3x + 2y - z = -9 and the line…

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Q: M (1; -2; 4) parallel to the OXZ plane

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Q: Sketch the following planes in the window [0, 5] × [0, 5] × [0, 5]. The plane parallel to the…

A: First obtain the plane that parallel to the xz-plane containing the point (1, 2, 3).…

Q: Consider the following. 3x + 3y + 7z = 63 Sketch a graph of the plane. 10 10 10 10 20 10 10 20 20 20…

A: Given equation of plane is 3x+3y+7z=63  ---(1)

Q: Consider the following. 2 = 1 10 rz Sketch a graph of the plane. 10 10 10 10 10 10 10

A:

Q: a) Show that the shortest distance between the point (a, b, c) and the plane Ax + By + Cz + D = 0 is…

A: Part(a): Given, The point is a,b,c  And, the plane is, Ax+By+cZ+D=0

Q: 2. Find a parameterization of the line formed by the intersection of the following planes: P1:2x – y…

A:

Q: 2. Find a parameterization of the line formed by the intersection of the following planes: P1: 2x –…

A: Line of intersection

Q: Show that the curve a(t) = (t,4,²) lies in a plane and find the equation of this plane.

A: Solution:- αt=t,1+tt,1-t2t t,1t+1,1t-t=x,y,z It is clear that, t-1t-1+1t-t=x-y+z x-y+z=-1

Q: 0- Draw a sketch of the Plane of 4x-tyt22-9=0

A: Solution

Q: Consider the following. 4x + 2y + 7z = 56 Sketch a graph of the plane. 더10 건 10 $5 5 10 10 10 10 20…

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Q: Determine the general equation of the plane 2 passing through the point P (1, -4, -5) and parallel…

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Q: Is the line x = 1 + 2t, y =-2 + 3t, z =-5t related in any way to the plane -4x - 6y + 10z = 9? Give…

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Q: Find the point Q symmetric to the point P (1; 3; —4) with respect to the plane 3x+y-2z=0

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Q: Consider the following. 2x - y + z = 6 Sketch a graph of the plane. . y -6 20 22 20 -4 22 4. 2. 2. y…

A: For finding the intercepts, we have tp equate other variables equal to zero.

Q: Q1) the plane has equation of 4x-3y-2+5=0 Pud equation of plane partlel to R) and contimons with…

A: Given that: Equation of given plane is: 4x-3y-245=0and contains point (2,1,3)

Q: 10 Sketch a graph of the plane 10z 10 5. 10 10 10 10 10 10 5. 10 10

A: Here, the given plane is z=4.  To sketch the graph of the given plane.

Q: Consider the following. 4x + 3y + 7z = 84 Sketch a graph of the plane. 15 15 10 10 10 10 10 10 20 20…

A: topic - plane and its intercepts correct graph is on bottom row left corner

Q: Consider the following. 4x + 3y + 6z = 72 Sketch a graph of the plane. 15 18

A: Given that: 4x+3y+6z=72

Q: Consider the following. Z = 4 Sketch a graph of the plane.

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Q: Evaluate ||x'y dA if D is the triangle in the xy-plane with vertices at (0,0), (5,2), and (0,2).

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Q: Consider the following x3y 72 63 Sketch a graph of the plane. 10 10 10 10 10 20 20 20 20 30 30 30 10…

A: In this question we have to find which graph represent the given equation.

Q: Consider the following. 10z Sketch a graph of the plane. 10, 10. 10 10 10 10 10 10 10 10 Label any…

A: For a plane f(x,y,z)=0 For x intercept we have to put y,z=0 and solve for x For y intercept we have…

Q: Consider the following. 3x + 3y + 6z = 54 Sketch a graph of the plane. 10 10 10 10 20 20 20 20 10 10…

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Q: Find the projection of a on the plane P if a 4 and P has the equation x + y + z = 1.

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Q: Consider the following. 4x + 3y + 62 - 72 Sketch a graph of the plane. 15 15 16 10 10 10 10 20 30 15…

A: Given the equation 4x+3y+6z=72

Q: Consider the following. Зx + 2у + 62 3 36 Sketch a graph of the plane.

A: 3x+2y+6z=36 To find x-intercept, put y=0 & z=0, we get 3x+20+60=36⇒3x=36⇒x=12 To find…

Q: Consider the following. 3x + 3y + 6z = 54 Sketch a graph of the plane. Z10 10 10 10 10 10 20 20 20

A: intercept form is  xa+yb+zc=1 where (a,0,0) (0,b,0) and (0,0,c) are intercept at x,y,and z axis

Q: Verify that the line r(t) = [1 + t, 1 - t, t] is part of the one sheeted hyperboloid x^2 + y^2 -…

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Q: Sketch the following surface: (2+4)² + (y − 1)² = 1 a.) Draw the projection on a xy plane Show…

A: Disclamier: Since you have posted a question with multiple sub-parts ,we will solve first three sub…

Q: Consider the following. z = 1 10 rz 10 Sketch a graph of the plane. 10 rz 10 [z of 10 10 10 10 10 10…

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Q: Consider the following. z = 1 Sketch a graph of the plane. 10 tz 10 5 10 10 10 10 10 tz 10 tz 5 0.…

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Q: . Consider the following. z = 1 Sketch a graph of the plane. 10 tz 10 tz 5 5 10 10 10 10 10 X: Label…

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Q: Consider the following. 10 hee 4x + 3y + 6z - 72 Sketch a graph of the plane. 15 15 1s 10 10 10 20…

A: Plane

Q: 2. Find a parameterization of the line formed by the intersection of the following planes: P1: 2x –…

A: 2)as per our guideline we have to write one question at a time kindly repost remaining questions

Q: H.W 8- Find equations of the planes that are parallel to the plane x +2y- 2z= 1 and two units away…

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Q: The graph of (x/a) + (y/b) + (z/c) = 1 is a plane for any nonzero numbers a, b, and c. Which planes…

A: Given equation of plan is xa+yb+zc=1   ...(1) Where a, b, c≠0

Q: 6.) Consider the points P(-1,2,5), Q(2, –3, 0) and (i) Write an equation of the plane containing t

A: Equation of plane: We know that, the equation of plane that passes through point (x, y, z) is given…