(3) Find parametric equations for the line of intersection of the planes. x + y - z = 2 and y + z = 0

Q: Find two different parametric equations for the rectangular equation given. y=x* +3 (a) Substitute…

A:

Q: 7. if x= y=a are parametric equations of a curve, then its Cartesian equation is: A. x²+ y-y D0 B.…

A: As per guidelines we can solve only one question rest can be reposted.

Q: 260. Find the intersection point of the x-axis with the line of parametric equations x= 10 +t,…

A: To find the intersection point of the x-axis with the given line of parametric equations  x=10+t y…

Q: 1. Find parametric equation for the line through the point P(3,-4,-1) parallel to the vector v…

A:

Q: 2. Find the parametric equations of the line passing through the point (-1,4, –3) and is parallel to…

A: Given information is as below: r0=(-1,4-3)v=5i-j=(5,-1,0)

Q: he rectangular equation from the parametric equations by eliminating the paramet

A: 11. Obtain the rectangular equation from the parametric equations by eliminating the parameter t X=t…

Q: (a) Find parametric equations for the intersection of the planes 2x + y−z = 3and x + 2y + z = 3.(b)…

A:

Q: 1. a) Find parametric equations of the line of intersection of the planes 3x- 2y+z=0 and…

A: Given : equation of a plane, 3x-2y+z=08x+2y+z-11=0

Q: III. Find a set of parametric equations for the curve of intersection of the cylinder (x-1)² + ² x²…

A:

Q: Find a parametric equation for the line through the point (-1,-1,2) and perpendicular to the plane…

A:

Q: 254. Find the distance between point A(4, 2, 5) and the line of parametric equations x=-1-t, y=-t, z…

A: The given parametric equation is x=-1-t, y=-t, z=2, t∈ℝ and the point is A4,2,5. Find the distance…

Q: 117 Sketch the curve for each pair of parametric equations. 4t 2) x= -2t + 2, y = 1) x= 1, y=

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

Q: 1: Find the angle between the planes 3x - 6y + 4z 3 and 2x - 2y +z = 4 then find the parametric…

A:

Q: Complete the parametric equations of the line through the point (-2,-4,-8) and perpendicular to the…

A: Given: Equation of plane x-3y-5z=2 Point (-2,-4,-8)

Q: 2. Find the parametric equations of the line passing through the point (-1,4, -3) and is parallel to…

A:

Q: 7) Find a rectangular equation equivalent to the given pair of parametric equations. x=2t-1 „y=t^2;…

A:

Q: a) Interpret the parametric equations     x = x1+(x2-x1)t     y = y+(y2-y1)t where 0<= t <=1, which…

A:

Q: Find the cartesian equation for the curve that the points of the parametric equations x(1) = In t,…

A: (a) Given the two parametric equation:- x(t) = lnt............(1) y(t) = ln(2t)............(2) Now…

Q: 5. Find parametric equations for the line through the points (1, 3, 0) and (2, 4, 4).

A: 5. Given that, the points are 1,3,0 and 2,4,4. Note that, the symmetric equation of the a straight…

Q: 5. Graph and find the parametric equations for the line through the point (1, -2, 3) and parallel to…

A: This question is about application line in 3d

Q: Find a set of parametric equations for the curve of intersection of the cylinder (x − 1)² +: 4 the…

A: We will use trigonometric identity  sin2t+cos2t=1 and parametric form of standard ellipse to find…

Q: Find a set of parametric equations of the line with the given characteristics. The line passes…

A: We have to find a set of parametric equations of the line with the given characteristicsThe line…

Q: Find the point at which the line given by the parametric equations below intersects the plane.…

A: Given a system of linear equations are, 2X + 4Y -3Z =-48.................(1) X = 10 +…

Q: 3. What is the parametric equation for the line through the point (1 ,2, 3) parallel to the x- axis?…

A:

Q: 5. Find the parametric equations of a line through (1, 0, -1) and parallel to the line -(x-4) 1 y =…

A: Consider the given equation of the line. Converting it into the standard form and taking the…

Q: 6. Find parametric equations for the line of intersection of the planes 2x – y + z = 4 and 3x + y +…

A:

Q: Find a set of parametric equations for the curve of intersection of the paraboloid r² + 4y² -z = 0…

A:

Q: a) Find the parametric equations for the line in which the planes x-2y+4z=2  and x + 2y - 2z = 6…

A: Consider the provided question, (a)

Q: Complete the parametric equations of the line through the point (3,-7,-2) and perpendicular to the…

A: Given that, the equation of the plane is     -3x-y+z=2  and the point (3,-7,-2) The direction vector…

Q: Find the parametric equations for the line of intersection of the planes x+y-z = -20 and 9.x + 3y +…

A: Given planes, x+y-z=-20 and 9x+3y+z=16. The objective is to find the parametric equations for the…

Q: 65. Find parametric equations for the line through the point (0, 1, 2) that is parallel to the plane…

A:

Q: d a set of parametric equations for the tangent line to the curve of intersection of the surfaces at…

A: Given surfaces are z=x2+y2 and z=16-y at the point 4,-1,17. To find a set of parametric equations…

Q: 3. What is the parametric equation for the line through the point (1,2,3) parallel to the y - axis?…

A: The solution is given as follows

Q: Find the parametric equations for the line of intersection of the planes x+y+z= 3 and 2:z-3y = 6.…

A:

Q: What is the rectangular form of the parametric equations? z(t)=t-3, y(t) = 2t2-1, where t is on the…

A:

Q: 44. The parametric equation of the rectangular hyperbola #(y + 1) = c² is A. 1 = ct, y B. I = 1+ ct,…

A: Please see the explanation below

Q: Find a set of parametric equations for the line passing through the point (1, 0, 2) that is parallel…

A:

Q: B Find the parametric equation of the plane passes through the point (-3,0,7) and perpendicular to…

A:

Q: 2. Find the parametric equations for the line through (3, –2,5) and (2,3,0). 3 Find the equation of…

A: To find the parametric equation for the line through 3, -2, 5 and 2, 3, 0

Q: 5. Find parametric equations for the line of intersection of the planes x + y = 1 and y +z = 1.

A:

Q: Select two different sets of parametric equations for the rectangular equation. X-9 3 Ox= t+ 9, 3 Ox…

A:

Q: (a) Find parametric equations for the line through the point (-6,1,2) and the point of intersection…

A: Note:- As per our guidelines, we can answer the first of this problem as exactly one is not…

Q: 277. Find parametric equations of the line passing through point P(-2, 1, 3) that is perpendicular…

A:

Q: Show complete solutions Find the cartesian equation of the curve of the parametric equations…

A:

Q: Find a rectangular equation equivalent to the given pair of parametric equations. x- 5t-2, y=t;…

A:

Q: Find a set of parametric equations for the curve of intersection of the cylinder (x - 1)2 + y2/4 = 1…

A:

Q: 3. Find the Parametric Equations for the Curve. The line passing through (2, 6) and (3, 9).

A: Given, A line passing passing through the points 2, 6  and 3, 9 We have to write the parametric…

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.