Let L1 and L2 be the lines whose parametric equations are L1 :x= -63 +9t,y = 10 – 21, z = 45 – 6t L2 :x= 81 – 8t, y = -33 +3t, z = -66 + 7t Find, to the nearest degree, the acute angle between L, and L2 at their intersection.

Q: The parametric equations for a line L₁ are as follows: x = −2+3t y = −4+6t z=-5-9t Let L2 be the…

A: The parametric equations for a line through the point (x0,y0,z0) and parallel to the direction…

Q: The parametric equations for a line L₁ are as follows: x=-4+6t y=3-4t z = 1+4t Let L₂ be the line…

A: The given problem is to find the point P on the line L2. Given Line L2 is parallel to line L1 and…

Q: 4. Write parametric and symmetric equation of the line passing through the point (-3, 5, 4) in…

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Q: The lines L1 and L2 are determined by the following symmetric and parametric equations,…

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Q: Determine the direction angles for the line with parametric equations x = 5 + 2t, y = 12 - 8t, and z…

A: Direction angle

Q: Where does the line with parametric equations −1+3t y = 2 - 2t 2 = 3+ t intersect the plane 3x + y -…

A: Given parametric equation of line x = -1 + 3t y = 2 - 2t z = 3 + t Given plane 3x + y - 4z = -4

Q: . Let A=(2, 3, 1) and B= (4, -1, 2) and C = (6, 2, 3). Find the equation of the line in parametric…

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Q: Find a set of parametric equations for the rectangular equation y=4x-2.

A: Given a rectangular equationy=4x−2To find: parametric equations

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

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Q: Find a pair of parametric equations for y= 3(x - 5)² +2. Show all your work for full credit.

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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.