Let / be the line given in parametric form by the equations x = -2 + 1A y = -1+6) z = -1+7A What is the distance between the origin and the line l? [Please enter your answer numerically in decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct answer. So for example, if the correct answer is 6.78 then any input that lies between between 6.53 and 7.03 will be marked as correct.] Answer:

Q: *5. Prove that no two lines in hyperbolic geometry are equidistant from one another by showing that…

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Q: Calculate the distance from point A(1, 2, 1) to the plane of equation 3x-4y + 5z = 1.

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Q: Find parametric equations to represent the line segment from (-2, 7) to (3, -1).

A: on solving this we get

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Q: Calculate the distance between the points P = (-7, 0) and N=(-4, -6) in the coordinate plane. Give…

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Q: Let / be the line given in parametric form by the equations x = 1 + 21 y = -1 + 31 z = 2 + 51 What…

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Q: A million years ago, an alien species built a vertical tower on a horizontal plane. When they…

A: Consider the given points.P = (0, 0, 0)Q = (2, 2, 0)R = (0, 1, 2)

Q: The length and diameter of a spaceship as  determined by an astronaut on board are 76m and 23…

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Q: Find the parametric equations for the line in the x-y plane which goes through the points (2,-1) and…

A: The parametric equations for the line in the x-y plane which goes through the points (2,-1) and…

Q: 5. Find the exact value of distance from the point (1, -3, -1) to the plane 2x-y+3z = -5

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Q: Calculate the distance between the points P = (-7, 2) and M= (1, –1) in the coordinate plane. Give…

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Q: The coordinates of a point in the xy-coordinate system are given. Assuming that the XY-axes are…

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Q: the line satisfying the given conditions. If possible, also indicate the symmetric equations. line…

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Q: The distance between the point (9, 8, 3) and the plane x + y−2z = 5 is _____.

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (8, 6)…

A: Given;  The line through (8,6) that is parallel to -4i+3j.

Q: Determine the parametric and symmetric equation of line passing through the points (1, –3,2), (5,…

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Q: 7. Find the distance between the point (- 3, 2, 1) and the plane with equation x - 2y + 3z = 5

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Q: Let parametric equation of a line L: (x,y) = (1,1) + a (-2,1), therefore it is besides through to…

A: Given that, L: (x,y) = (1,1) + a (-2,1)point (1,1)

Q: Find a parametric representation of a straight line through (1,1,1) and (4,0,2), and sketch it using…

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Q: Compute the original coordinates with respect to x and y axes if the translated coordinates of this…

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Q: Find parametric equations for the lines with the given description. Parallel to the line through (1,…

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Q: Find a set of parametric equations and symmetric equations of the line ` con- taining the point P(1,…

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Q: What is the distance from the point (1,9,3) to the xz-plane?

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Q: Find parametric equations for the line in which the planes 3x - 6y -2z = 15 and 2x + y - 2z = 5…

A: Equation of plane - 1,3x-6y-2z = 15 Normal vector of plane 1 = n1 = 3,-6,-2…

Q: Calculate the distance between the points P = (-7, 6) and N=(-2, 2) in the coordinate plane. Give an…

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Q: Find parametric equations for the line that passes through the point  (5, 2) and is parallel to the…

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Q: 4- Find parametric and symmetric equations of the line passing through the points (1,- 1,2) and…

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Q: Find the parametric and symmetric equations for a line that passed through the points (2,0,8) and…

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Q: 1. Find the vector and parametric equations for a line passing through (7,-4, 2) and parallel to the…

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Q: Which of the following is the equation with center (-9, 8) Major axis = 10? %3D 20 and minor axis…

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Q: Calculate the distance between the points K=(-9,7) and M=(-4, 2) in the coordinate plane. Give an…

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Q: Find the distance from the point (3, 1,0) to the line given by symmetric equations *** =-3, y= 1.

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Q: find a set of parametric equations of the line through (2,8,3) and (11,20,21)

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Q: Write the parametric equations of the line through the point P (-6, 4, 3), that is perpendicular to…

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Q: Calculate the distance between the points M-(-2,-2) and H-(3,-8) in the coordinate plane. Give an…

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Q: Find parametric equations of the line passing through (3, −1, −3) and perpendicular to the line…

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Q: 5, what is the speed of the plane?

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Q: Find the distance between the point (1,3,-1) and the plane 3x - 4y + 5z = 6. (Enter an exact answer…

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Q: Find parametric equations of the line through the given points. (a) (2, −3, 1), (4, 2, 5) (b) (−3,…

A: The parametric form of a line passing through two points px1,y1,z1 and Qx2,y2,z2.Fix P-base…

Q: A line passes through points (5, 8) and (10, a), where a is a parameter. The equation of this line…

A: A line passes through points (5, 8) and (10, a), where a is a parameter. The equation of this line…

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.