Find sets of parametric equations and symmetric equations of the line through the point parallel to the given vector or line (if possible). Point Parallel to (0, 0, 0) V = (5, 1, 2) (a) Parametric equations (Enter your answers as a comma-separated list.)

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

A: The line passes through;(x0, y0, z0)=(-1, 4, -6)parallel to direction vector:v=a, b, c= 2, -1, 0a=2,…

Q: Find a set of parametric equations of the line with the given characteristics. The line passes…

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Q: Find a set of parametric equations of the line passes through the point P (1, 2, 3) and parallel to…

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Q: The unit vector of the PQ (of point P(-3, 4, 1) and terminal point Q(-5, 2, 2)). - The angle between…

A: here we have

Q: Find parametric equations of the line perpendicular to the yz-plane passing through the point (5,…

A: The direction ratios  of lines perpendicular to the yz-plane are 1,0,0 We obtain the equation of…

Q: e vector parametric equation for the line through the points (5, –2, 1) and (-2, 3, 2)

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

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

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Q: Find a set of parametric equations of the line with the given characteristics. The line passes…

A: Given: Point (2, 3, 4) and plane 3x + 2y − z = 6. To Find: Equation of the line passing through the…

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

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

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Q: Give a vector parametric equation for the line through the point (3,4,−2) that is parallel to the…

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

A: Given: The line passes through the point (-2, 4, 7)  and perpendicular to the plane given by…

Q: Find a set of parametric equations of the line. (Enter your answers as a comma-separated list.) The…

A: We need to find parametric equation of line.

Q: Find a set of parametric equations of the line with the given characteristics. The line passes…

A: we know that parametric equation of line which passes through given point r0x1,y1,z1 and have…

Q: A line passes through the point (6,9, - 8), and is parallel to the vector 9i + 8j + 5k. Find the…

A: Given: a line passes through the point(6,9,-8) and is parallel to the vector 9i+8j+5k To find :…

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

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Q: A line passes through the points P(-8,9,2) and Q(9, - 10,4). Find the standard parametric equations…

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) The line…

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Q: Find a set of parametric equations of the line with the given characteristics. The line passes…

A: Let us assume that the given line is line1 to which our line AB is parallel. The equation of line1…

Q: A line passes through the points P(9,5, – 1) and Q(- 9, – 3, – 8). Find the standard parametric…

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Q: A line passes through the points P(8,3,5) and Q(-7,- 10, - 9). Find the standard parametric…

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Q: Find parametric equations of the line perpendicular to the yz-plane passing through the point (-3,…

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Q: find parametric equations for the lines with the given description.  Passes through (1, −1, 0) and…

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Q: Find a set of parametric equations of the line with the given characteristics. The line passes…

A: We have to find a set of parametric equations of the line with the given characteristicsThe line…

Q: (a) Find parametric equations for the line that passes through the point (−4, 7) and is parallel to…

A: The line passes through the point (-4,7) and direction vector= <6,-9> [Because parallel…

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: (a) Find a parametric equation and symmetric equation of the line that pases through the point (2,…

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Q: 3) Find a vector equation and parametric equations for the line segment that joins (-2, 4, 0) to…

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Q: Find a parametric equation and symmetric equation of the line that pases through the point (2, -1,3)…

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Q: 6. (a) Find parametric equations for the line through A = (1, 2, 3) and B = (0, 2, 2). (b) Find the…

A: Solve for the given

Q: A line passes through the point (8, - 5,7), and is parallel to the vector 9i + 7j + 10k. Find the…

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

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Q: Give a vector parametric equation for the line through the point (4,-3) that is perpendicular to the…

A: Give a vector parametric equation for the line through the point (4,-3) that is perpendicular to the…

Q: 1) Find parametric equations for the line of intersection of the planes 2л + 5у — 32 find two points…

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Q: (a) Find parametric equations for the line that passes through the point  (−3, 8) and is parallel to…

A: GivenLine passing through (-3,8)And a vector

Q: A line passes through the points P(- 10,2,4) and Q(1, - 10, – 9). Find the standard parametric…

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

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Q: Find sets of parametric equations and symmetric equations of the line through the point parallel to…

A: Given:points(0,0,0) and v= < 5,1,2>We will find the parametric and symmetric equation of the…

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

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Q: 5. Find the parametric equations of the line through A (-1, 2, 3) and B (2, 2, -3). Hence find where…

A: The set of parametric equations of a line passing through the points (x1,y1,z1) and (x2,y2,z2) are…

Q: Find a set of parametric equations of the line  that passes through the point (5, 6, 7)  and is…

A: The given point is (5,6,7). to find the set of parametric equations of line passing through the…

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

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

A: Given:      Point: ( 1 , 2 , 3 )    Parellel to xz - plane     Parellel to yz - plane

Q: 4. Find parametric equations of a line passing through (-1, 2, -2) that is parallel to the plane…

A: This question is based on 3-d geometry.

Q: (a) Find parametric equations for the line through the point (-6,1,2) and the point of intersection…

A: Note:- As per our guidelines, we can answer the first of this problem as exactly one is not…

Q: Write vector and parametric equations of the plane. a) parallel to the xz-plane and through the…

A: If there is a constant k, then x = k represents a plane parallel to the yz-plane, y = k is a plane…

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

A: Here, the equation of the given plane is: -x+5y+z=6 Therefore, the normal of plane is (-1,5,1). Now,…