What is the parametric equation of line through the point (1,2,-1) and perpendicular to the plane x-2y+3z=1 in O a. t=x, 2t-23Dy, 3t+1=z O b. 1-t3x, -2+t%3Dy, 3-t%3Dz O c. 1+t=x, 2-2t3Dy, 3t-13z O d. t-1=x, 2t%3Dy, -313DZ O e. 1+213DX, 1-t/23DY, 3t-z age Next page

Q: Find parametric equations for the line through the point P(3, 6, 4) that is parallel to the plane x…

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Q: What is the parametric equation of line through the point (1,2, -1) and perpendicular to the plane…

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Q: Find a set of parametric equations for the line passing through the point (2, 0, 9) that is…

A: a set of parametric equations for the line passing through the point (2, 0, 9)  that is parallel to…

Q: Find a set of parametric equation of the line through the point (1, 0, 1) parallel to the line x = 3…

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Q: Find a set of parametric equation of the line through the point (-2, 0, 3) parallel to the vector v…

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Q: Determine the parametric equation of the plane that contains the line y-3 *+2-³-² and the point…

A: Virtual find the standard form of the plane then by satisfying the parametric values we will…

Q: Find parametric equations of the line through the point (8, 3, 4) that is parallel to the plane -2x…

A: First find vector normal to plane Write equation of line

Q: 3. Find a set of parametric equations for the line of the intersection of the planes 3x-3y-7z -4 and…

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Q: Find the parametric equations for the lines. Where, the line through the point P (3, -4, -1)…

A: Topic = Vector

Q: What is the parametric equation for the line of intersection of the planes x + y - z = 2 and 3x - 4y…

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Q: 8. Find a parametric representation of the line through the point P(1,0,4) and perpendicular to the…

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Q: Find the set of parametric equations of the line through the point (1, 6, 3) that is parallel to the…

A: The direction ratio of the line x=6+5t, y=6+2t, z=4+2t is (5,2,2). Parallel lines have the same…

Q: Find the distance between the point (1, −2, 4) and the line given by the set of parametric equations…

A: The given point is M=(1, −2, 4) The direction vector of the line is =s=(2,1,2) A point on the line…

Q: Choose the parametric equations that represent the line segment that goes through the points (1,4,…

A: Given points x0,y0,z0=(1,4,-5) and x1y1,z1=(2,2,-1)

Q: Where does the parametric line ( 2 + 2 t , t , t ) intersect the plane x+y-3z=4?

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Q: Given the planes  π1 : x − 2y + 3z + 1 = 0 and π2 : 2x + y + z + 2 = 0. Let L be the line of…

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Q: The parametric equation of the segment [AB] with A(1,0,5) and B(3,1,2) is: O x=1+2t y%3Dt z-5-3t -o<…

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Q: 4. Find the equation of the plane that passes through the point (5, –1,0), and is per- pendicular to…

A: Let's find.

Q: What is the parametric equation of line through the point (1,2,-1) and perpendicular to the plane…

A: The objective is to find the parametric equations of the line through the point.

Q: Find the parametric equations for the line through the point of intersection of the lines L1:x = 2 +…

A: In line L1 and L2  't' is used as parameter but don't confuse with it. Different different line we…

Q: Find a parametric equation for the line through the point (6,5, - 3) and perpendicular to the plane…

A: Given plane is, 7x+4y+4z=15 Since, the line is perpendicular to the plane then the normal vector…

Q: The parametric equation of the segment [AB] with A(1,0,5) and B(3,1,2) is: O x-1+3t y=t z35+2t -<…

A: Two points A and B are given we have to find the parametric equation of the line segment AB. A line…

Q: Find a parametric equation for the line through the point ( – 1, – 1,2) and perpendicular to the…

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Q: What is the parametric equation of line through the point (1,2,-1) and perpendicular to the plane…

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Q: The parametric equation of the segment [AB] with A(1,0,5) and B(3,1,2) is: O x=1+3t y=t z=5+2t 0s…

A: Solution: Consider the given points are : A(1, 0, 5) and B(3, 1, 2) Parametric Equation of the given…

Q: Find the parametric equations for the line through the point (5, 2, 9) and perpendicular to the…

A: The parametric equation of a line passing through the point and has a direction cosines &lt;a , b…

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

A: We have to find the equation of the line passing through the point (1,2,-1) and normal to the plane…

Q: Find a parametric equation for the line through the point (2,3, – 1) and perpendicular to the plane…

A: Given that The point on the line (2,3,-1) and perpendicular to the plane 8x+3y+3z=5 A vector…

Q: Determine the parametric equations of the plane containing the point (1, -5, 9) and the line [x, y,…

A: I am going to calculate the parametric equations of the plane containing point (1,-5,9) and the line…

Q: 6. Find parametric equations for the line of intersection of the planes 2x – y + z = 4 and 3x + y +…

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Q: Find the parametric equation of the line of intersection of two planes correctly: P1:x+3y+5z=0 and…

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Q: (s) (a) Find a parametric equation for the line through (2, 4, 6) that is perpendic- ular to the…

A: Equation of line in 3D

Q: 30. Determine two sets of parametric equations for the line passing through the points P( 1,7, 1)…

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Q: Find parametric equations for the line through (- 4,6,1) perpendicular to the plane 7x + 3y + 9z =…

A: Note that, a vector which is perpendicular to the plane ax+by+cz+d=0 is (a, b, c). A parametric…

Q: Find the parametric equations for the line through the point (1, 7, 2) that is parallel to the plane…

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Q: Find the set of symmetric and parametric equations of the line passing through the point P(3, 4, 1)…

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Q: Provide the point-normal form equation of the plane containing (1, -1, 4) and line with parametric…

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Q: Compute the parametric equations of the line in R3 determined by the intersection of the two planes:…

A: To obtain the parametric equations of the intersection line, use the following formulae. Let n1→…

Q: y+3x-6z=8

A: answer is in next step

Q: 7. Find the parametric equations of the line passing through A(1, -2, 6) and which is perpendicular…

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Q: Find a set of parametric equations for the curve of intersection of the paraboloid x² + 4y² − z = 0…

A: To find the parametric equations for the intersection of given surfaces.

Q: What is the parametric equation of line through the point (1,2,-1) and perpendicular to the plane…

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Q: Find parametric equations of the line through the point (8,3, 4) that is parallel to the plane -2x +…

A: The parallel line through the point has the vector equation L = &lt; 8,3,4 &gt; + t &lt; a, b, c…

Q: What is the parametric equations of the line through (2,2,2) parallel to the x- axis ? a) x = 2, y =…

A: 7) The Parametric equations of the line through (2, 2, 2)  parallel to x-axis is given…

Q: The line L is parallel to the plane x+y+z=2 and is perpendicular to the vector (-1,1,–2). If the…

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Q: Derive the parametric equations of the line of intersection of the two planes: II : x – 2y + z =1…

A: Given: P1:   x−2y+z=1P2:   2x−2y−4z=4

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.