Intersecting Lines and PlanesIn Exercises 57–60, find the point in which the line meets the plane.57. x = 1 - t, y = 3t, z = 1 + t; 2x - y + 3z = 658. x = 2, y = 3 + 2t, z = -2 - 2t; 6x + 3y - 4z = -1259. x = 1 + 2t, y = 1 + 5t, z = 3t; x + y + z = 260. x = -1 + 3t, y = -2, z = 5t; 2x - 3z = 7

Q: Answer the questions in detalied steps and show work. (9 and 10)

A: Step 1: Solve question 9.Step 2: Solve question 10.

Q: 10) One endpoint of a segment is at the point (-2,3) and the midpoint is at the point (5,- 1). Find…

A: Since you have posted multiple questions i can do first question as per our company guidelines,…

Q: Plotting Points in the Cartesian PlaneIn Exercises 11 and 12, plot the points.

A: To plot the given points in the cartesian plane.x,y 11). Given points are…

Q: Which one is the point of intersection of the plane - 3x + 3y + 4z = 49 and the line x = 3-51 y =…

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Q: What is the y-intercept of the line below? O (0, 2) O (0, 1) O (0, 3) O (0, 1)

A: To find y intercept of the line below

Q: Find the distance from the point Q = (0, 3, -3) to the plane -3x - 5y+2z=9.

A: Introduction:  The distance between point and plane is the shortest perpendicular distance from the…

Q: 3 > Find a plane containing the point (-2,7,-7) and the line 7 (t) = +t < 3, 8, Check Answer

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Q: True or False and explain why showing all steps. The line r(t)=(5+2t, 2+t, 3+t) lies on the plane…

A: The line r(t)=(5+2t, 2+t, 3+t) lies on the plane x-y-z=0.

Q: Find the point of intersection for the lines (t) = (-4, 8, 3)t + (-2, 2, 1) and - w(u) = (-6, 1, 2)…

A: To find the point of intersection for the lines v→t=-4, 8, -3t+-2, 2, 1and w→u=-6, 1, 2u+8, 15, -11.…

Q: Question 3. Do the lines x=t, and x = 2t - 2, y = 2t - 1, 2 = 3t+1 intersect each other at only one…

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Q: Find the derivative of the function: O f(x) 0 17 16 0-17 4 17 4 O-17 16 2x - 7 3x - 2 at x = 2

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Q: Find the point at which the line F(t) = (-2,−1, 6) +t(-4, 7, 1) intersects the xy plane. Question…

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Q: DistancesIn Exercises 33–38, find the distance from the point to the line.

A: points: 0,0,12line: x=4t, y=-2t,z=2t Let p be the vector representation between given line and…

Q: Find all ponts on the X-XIS nat asx 4 units Prom the, MIdpoint e the line segment joiningcCoiz) and…

A: Solve for points on x axis

Q: Let P be the plane containing the point (-11, -2, 1) which is parallel to the plane z + 3y + 4z= -3…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.