(a) Find a direction vector for the first line, which is given in parametric form. (b) Find parametric equations for the second line in terms of the parameter t. (c) Show that the two lines intersect at a single point by finding the values of s and t that result in the same point. Then find the point of intersection.

Q: Find the distance between the point  and the line given by the set of parametric equations.…

A: Answer

Q: (a) Find the parametric equation of the line that contains the two points A = (-4,0, –1) and B (3,…

A: (a) Here first we find vector v = AB = OB-OA, then the equation of line will be (x, y, z) = A + t v…

Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve),…

A: The given parametric curve x=t3, y=t23. We have to sketch the graph of the parametric curve and find…

Q: ) Write the parametric equations x = x = 2t-t³, y = 3 - 2t in the given Cartesian form.

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

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Q: Find the parametric equation for the line in R' that passes through the point (1, –2, 3) and that is…

A:

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answer as…

A: THE GIVEN LINE IS, x=y=z WE CAN REWRITE IT AS, x-01=y-01=z-01 SO, THE DIRECTION RATIOS FOR THE LINE…

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

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Q: Abee flies around a room at an altitude of 2 2.3 meters making circles, so that its a coordinate…

A: Solution :  To write the parametric equation to describe the motion

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A:

Q: Let ū = (-2, –3) and d= (1,4). (a) What is the parametric equation of the line through i with…

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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.