The parametric equations x = X + (x2- x)t, y= Y1+ (Y2-Y)t where 0 sts1 describe the line segment that joins the points P,(x,, Y,) and P,(x2, Y2). Use a graphing device to draw the triangle with vertices A(1, 1), B(4, 4), C(1, 6). Find the parametrization, including endpoints, and sketch to check. (Enter your answers as a comma-separated list of equations. Let x and y be in terms of t.)

Q: 7. A line has equation /:*-=-= 1:*=1==32₁2=3 x-1 y-2 -,Z=3 z a) Write the parametric equation for…

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Q: Q3\Find the parametric and symmetric equations of the line through the points (3,2,0) and (- 5,0,…

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Q: Find the distance between the skew lines with parametric equations x = 1 + t, y = 2 + 6t, z = 2t,…

A: The distance from a point P(x1,y1,z1) to a plane  is

Q: Find the parametric equation of the lines passing through (4, -2, 5) and (-3, 0, 6)?

A: Consider the two given points (4,-2,5) and (-3,0,6). The objective of the problem is to find the…

Q: Complete the parametric equations for the line where the planes - 6x - y + 11z = -34 and - 4x + 2y +…

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Q: how do you write in parametric form?

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Q: question

A: we have to find the solution of the initial value problem. y"+18x=0 y(0)=5 , y'(0)=-2

Q: 19) Find the equation for the line in 3-space passing through the points (2,5,3) and (3, -3, 7)…

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Q: Find a set of parametric and symmetric equations of the line satisfying the following Passing…

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Q: How do you find the parametric and symmetric equation of the line passing through the point (3, 2,…

A: We have to find the parametric and symmetric form of the line perpendicular to the given plane at a…

Q: A particle moves linearly from the point (- 2,4) to (10,0) in 4 seconds. Find parametric equations…

A: The given points are x1,y1=-2,4;x2,y2=10,0 So the slope is given by: m=y2-y1x2-x1=0-410--2=-13

Q: Determine parametric equations of the line of intersection of the planes x+2y+3z=4 and -2x+z=0. Then…

A: Let us consider two planes ax+by+cz+d=0 and a'x+b'y+c'z+d'=0  Intersection of two planes is line…

Q: Change the parametric equations to rectangular and then sketch an excellent graph of the rectangular…

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Q: Find the parametricequations of the line passing Through (-2,0,3) parallel to ū = 2i +49-2R.

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Q: Find the parametric equations for the path of a particle that travels three quarters of the way…

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Q: Q6\ Find parametric equations for line through P(-3, 2, -3) and Q(1, -1, 4)

A: P(-3,2,-3) and Q(1,-1,4).

Q: The parametric equations r = 3 - t, y = 2t + 4, 0 <t < 2 describes motion along a certain line…

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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.