Find the point at which the line x = 2 – t, y = 1+ t, z = 4t intersects the plane x - y + 3z = 11. (x, y, z) = (| Need Help? Watch It Talk to a Tutor Read It

Q: x-2 Where does the line 3 intersects the xy plane? (5,0,7) O (7,0,5) O (5,0,2) O (0,2,0) O +00 %3D

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

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Q: 2:- find the line of interSection o f the plane -2x + 73 - 2324 given by 3x t6y-52=-3 f the plane

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Q: Find a line that intersects the plane x+y+z=4 at only one point

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Q: Locate the point of intersection of the plane 2x + y−z = 0 and the line through (3, 1, 0) that is…

A: Our Aim is to locate the point of intersection of the plane 2x+y-z and theline through (3,1,0) that…

Q: cquation Of uIe HnC U Q2: Are the plane 2x-y-4z = 10 and the line {x = 2+ 4t, y = 5- 2t, z = -8t}…

A: Given that the plane is 2x-y-4z=10 and the line is {x=2+4t, y=5-2t, z=-8t} .

Q: Find the coordinates of the point (x, y, z) on the plane z = 3 x + 3 y + 2 which is closest to the…

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Q: find the point (x, y, z) where the line of intersection of the plane a: x-2y + 4z = 0 and the plane…

A: Find the ,line then point on the plane.

Q: Find the distance from the point (5, 5, 5) to the line x = 0, y = 5+ t, z = 5+t. Find the point P…

A: Explanation of the answer is as follows

Q: I3D Find the coordinates of the point (x, y, z) on the plane z = 2 x + 2y + 2 whi X = y =

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: A line will lie in a plane if any two points on the line also lies in that plane. As we know between…

Q: Q1: Find the parametric rquations of the line that passes through the point P(4,2,-3) and Q(-3,2,2).…

A: Here we have to find the parametric equation of the line that passes through the point P(4,2,-3) and…

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: A detailed solution is given below

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: For the solution of the problem follow the next step.

Q: plane

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Q: The lineL: x = 3 + 2t, y = 2t, z = tintersects the plane x + 3y - z = -4 in a point P. Find the…

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Q: Where does the line through (1, 0, 1) and (4, −3, 3) intersect the plane x + y + z = 6?   (x, y,…

A: Given points are Given Plane is

Q: Find the plane determined by the intersecting lines. y = 2+2t y = 1+ 2s z= 1- 4t L1 x= - 1+t L2 x=1-…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find the plane determined by the intersecting lines. L1 x = - 1+t y = 2+ 4t z= 1-t L2 x = 1 - 4s y =…

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Q: Find the point at which the line meets the plane. x= -3+5t, y= -2+4t, z 3t, x+y+z= -5 The point is…

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Q: A line has parametric eauation s: x = 8 – 21, y = -9 + 3t, z = 6 – t At what time does the line…

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

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Q: The plane given by x + y + 2z = 0 and the line given by x = 2 + t y = 1 - 2t z = 3 + t

A: The plane given by x + y + 2z = 0 and the line given by x = 2 + t;  y = 1 - 2t ;  z = 3 + t To find…

Q: Where does the line through (-3, 1, 0) and (-1, 7, 4) intersect the plane 2x + y - z = -2? (x, y, z)…

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Q: Where does the line through (-3, 1, 0) and (−1, 3, 8) intersect the plane 2x + y − z = -2? (x, y, z)…

A: Given the points (-3,1,0) and (-1,3,8) and the plane 2x+y-z=-2

Q: Q1): Find the point (x, y, z) that lines on the plane x +y + 2z = 4 that is nearest to the origin.

A: This question can be solved using the concept of distance of point from a plane in three dimensional…

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: This question is related to plane and lines, we will solve it using given information.

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find the intersection of the two planes with equations 3(x – 1) + 2y + (z + 1) = 0 and (x – 1) + 8y…

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Q: Z= (a) What is the equation of the plane passing through the points (2, 0, 0), (0, 2, 0), and (0, 0,…

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Q: Find the point at which the line meets the plane. x=3 + 3t, y = 4 + 5t, z = - 3+4t; x + y + z = 4…

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Q: Q1): Find the point (x, y, z) that lines on the plane x + y + 2z = 4 that is near origin.

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Q: 7. Find the point of intersection between the plane. I - y – z = 5 x +y + z = 1 5x – y + 2z = 17 (a)…

A: We have, the system of equations for plane as x-y-z=5             ⋯⋯1x+y+z=1…

Q: Where does the line through (1, 0, 1) and (3, –3, 4) intersect the plane x + y + z = 6? (x, y, z) =…

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Q: Find the plane determined by the intersecting lines. y = 2+t L1 x= - 1+t z= 1- 2t L2 x= 1-4s y = 1+…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find the plane determined by the intersecting lines. y = 2 + 2t L1 x= - 1+ 3t Z = 1- 4t L2 x = 1- 4s…

A: This question can be solved using the concept of lines and planes in three dimensional geometry.

Q: 4. Find the point of intersection of the plane z= 4 and the line L={ (x, y, z) | x= 4 + 3t, y=-1-2t,…

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Q: Find an equation of the plane. The plane that passes through the point (3, 4, 5) and contains the…

A: Given

Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

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Q: Find the coordinates of the point where the line F= (1+21)i +t} – 2tk 2z - y+z= 1. intersects the…

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Q: Find an equation of the plane. The plane through the point (-3, 7, 10) and perpendicular to the line…

A: Given:- The plane through the point (-3, 7, 10) and perpendicular to the line x = 5 + t, y = 2t, z =…

Q: Find the point at which the line meets the plane. x = - 3 + 5t, y = 3+ 6t, z = - 2 + 3t; x + y +z =…

A: Given ; Line meets plane = ?   x = -3 + 5t   y = 3 + 6t   z = -2 + 3t   Plane;        x + y + z =…

Q: Find an equation of the plane. The plane through the point (7, –2, –8) and parallel to the plane 6x…

A: We will solve the following.

Q: The acute angle of intersection of yz plane and the plane 2x-y+z-4=0 is:

A: Let A1x+B1y+C1z+D1=0 and A2x+B2y+C2z+D2=0 be the equation of two planes aligned to each other at an…

Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

A: Given query is to find the equation of the indicated plane.

Q: Where does the line through (-3, 1, 0) and (-1, 7, 4) intersect the plane 2x + y- z = -2? (x, y, z)…

A: Useparametric equation of plane to solve