Determine the parametric and symmetric equations for the line through the given points (2, –7,5), (-4, 2,5)

Q: Find a parametric equation of the line passing through the point (3,-1,-3) and perpendicular to the…

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Q: Find parametric and symmetric equations for the line satisfying the given conditions. Through the…

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Q: Find parametric equations for the line described below. The line through the point P(-6, 0, -6) and…

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Q: Find parametric equations for the line that passes through the points P(-3,7,9) and Q(4, 1, -5).

A: The given points are P-3,7,9 and Q4,1,-5. The line containing the point x0,y0,z0 and parallel to the…

Q: Find sets of (a) parametric equations and (b) symmetric equations of the line that passes through…

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Q: Select a parametric equation that represents the line that passes through the points (3,0,−2) and…

A: Find the direction vector of the line using the two points

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

A: on solving this we get

Q: Give the parametric and symmetric equations of the line that passes through the point (4, -3,5) and…

A: Using the dot product equal to zero for perpendicular to the vectors.

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: Give the parametric and symmetric equations of the line that passes through the point (4, –3, 5) and…

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Q: Find symmetric and parametric equations of the line through the two points (−3, 5, 2) and (1, −3,…

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Q: Find parametric equations for the line through (5, –7) and (2, – 13).

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Q: 3- Find an equation of the Plane perpendicular to the line through (2,2,-9) and (7,-1,3) and…

A: To Find: Equation of plane perpendicular to the line through the points (2,2,-9) and (7,-1,3) and…

Q: Find an equation of the plane pirpendicular to the line through (2,2,-4) and (9, "1, 3) and…

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Q: Find the parametric equations for the line segment from (5,-1,1) to (5,4,3)

A: The given points are 5, -1, 1 and 5, 4, 3. The parametric equation of a line segment joining the…

Q: Find parametric equations for the line of slope 2 that passes through the point (3, 5)

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Q: Show clear and detailed solutions Provide the parametric and symmetric equations of the line that…

A: Let the direction ratio of required line is  l , m and n

Q: Determine vector and parametric equations for the line through the point (2, 1) and parallel to the…

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

A: To find the parametric and symmetric equation of line passing through the points (1,-3,2) ,(5,-2,8)…

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 parametric equations of the line passing through the points (8, -5, 1) and (-4, -6, 2). Provide…

A: The given points are 8,-5,1 and -4,-6,2. We have to find the equation of the line passing through…

Q: Find sets of (a) parametric equations and (b) symmetric equations of the line that passes through…

A: We have to find sets of parametric equation and symmetric equations of line that passes through the…

Q: give the equation of the line in vector form, parametric form and symmetric form. k) The line…

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Q: The parametric equation of a line passing through A(1,1,1) and B(-1,2,0) is

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Q: Find the parametric equation for the line through the point (2,-3,1) and parallel to the vector…

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Q: 3. Give the parametric and symmetric equations of the line that passes through he point (4, –3, 5)…

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

A: Consider the given points 1,1,0 and 0,-1,-2 Passes through the point 0,0,4

Q: ) Find parametric equations for the line segment starting at P(-1,-3) and ending at Q(6,-16).

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

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Q: The plane with equation = (6,-2,3)+a(1,3,0) + b(2,2,-1) intersects the y- and z- axes at the points…

A: Vector equation of line is r'→=a→+αb→-a→where, a→ is the position vector of the point A.…

Q: Complete the parametric equations of the line through the points (7,-8,5) and (6,-4,8)

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Q: Determine the vector and parametric equations of the line through A(6,2,5) and B(9,2,8)

A: Given points , A(6,2,5) B(9,2,8) Therefore a=6i+2j+5k b=9i+2j+8k

Q: Give the parametric and symmetric equations of the line that passes through the point (4, –3,5) and…

A: we have to find the equation of line which is passes through the given point and perpendicular to…

Q: The symmetric equations for the line passing through (-3,–4, -5) and parallel to the vector (1,7,–…

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Q: Find parametric (or vector) and symmetric equations of the line which pass through the points P,…

A: P11, 4, 6 & P22, -1, 3. Vector equation of a line passing through two points with position…

Q: 3. Find the parametric equation of the line passing through the point (-1,0, 3) and in the direction…

A: Equation of the line passing through the point (-1,0,3) in the direction N(7,0,-2) is   ( x+1)/ 7 =…

Q: Give an equation of the plane: (a) (2 points) that contains the point (-2, 1, –3) and perpendicular…

A: GIVEN the plane that contains the points (-2,1,-3) and perpendicular to a line which is passing…

Q: Find parametric equations for the line of slope 2 that passes through the point 13, 52 .

A: Equation of line in the parametric form form when it is passes through point x1,y1 and slope 'r' is…

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

A: The line through the points (2,8,3) and (11,20,21)

Q: Find an equation of the plane that passes through the point (18, -16, 9) and contains the line given…

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Q: The parametric equations of the line that passes through A(-3,5,9) and B(-4,-7,2) is:

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Q: Find an equation of the plane that passes through the point (12, -10, 6) and contains the line given…

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Q: give the equation of the line in vector form, parametric form and symmetric form. 11) The line…

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Q: Find a set of parametric equations for the line segment from (-1,5) to (9,–4).

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Q: Give the parametric and symmetric equations of the line that passes through the point (4,-3, 5) and…

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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: Give the parametric and symmetric equations of the line that passes through the point (5,−1,3) and…

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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.