Find a parametric equation for the line through the point (- 1, - 5, - 2) and perpendicular to the plane 8x+ 5y + 5z = 9 which is written using the coordinates of the giver point and the coefficients of x, y, and z in the given equation of the plane. Z= (Type expressions using t as the variable.)

Q: a) Find the best straight line fit to the given data points (-3,7), (1,–1),and (3,–7). b) Find the…

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Q: 33 and Complete the parametric equations for the line where the planes – 3x – 9y – 12z = - 11x + 2y…

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Q: Find parametric equation for the lines .. The line through (0, -7, 0) perpendicular to the plane x +…

A: A parametric equation of a line can be written if a point on the line is given and a vector parallel…

Q: Complete the parametric equations for the line where the planes - 5x – 2y + 2z = 2 and - 13x + 10y +…

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Q: 1. Find parametric equation for the line through the point P(3,-4,-1) parallel to the vector v…

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Q: Find parametric equations for the line through (- 1,6, - 1) perpendicular to the plane 7x+ 5y + 5z =…

A: to find the parametric equations for line passing through (-1, 6, -1) and perpendicular to the…

Q: 2. Find the parametric equations of the line passing through the point (-1,4, –3) and is parallel to…

A: Given information is as below: r0=(-1,4-3)v=5i-j=(5,-1,0)

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 parametric equations for the line through Po = (3, –1, 1) perpendicular to the plane 8x + 5y –…

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Q: Find a parametric equation for the line through the point(1,9,3) and perpendicular to the plwne…

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Q: Find a parametric form for the line through the point (8, –6, –3) and perpendicular to the plane 2x…

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

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Q: Find parametric equations for the line that passes through the points P and Q. P(1, –2, 3), Q(5, 1,…

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Q: 1: Find the angle between the planes 3x - 6y + 4z 3 and 2x - 2y +z = 4 then find the parametric…

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Q: Complete the parametric equations of the line through the point (-2,-4,-8) and perpendicular to the…

A: Given: Equation of plane x-3y-5z=2 Point (-2,-4,-8)

Q: Find parametric equations for the line through the point (0, 2, 3) that is perpendicular to the line…

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Q: Find the parametric equation of the line that passes through P(1, 0, -3) and is parallel to the line…

A: Given: We have to find the parametric equation of the line that passes through the point P(1, 0, -3)…

Q: Find parametric equations for the line that passes through the point (6, 6) and is parallel to the…

A: parallel to the line y = −5/2x − 3.So slope= -5/2 In vector form: <2,-5>

Q: Write the Cartesian equation of the line given by the parametric equations æ(t) y(t) z(t) 5 – 4t -1-…

A: Givenx(t)=5-4ty(t)=-1-6tz(t)=6tIt means thatx-5-4=ty+1-6=tz-06=tcan also be written…

Q: Q2:- Find the parametric equations for the following Cartesian equations. 1) x=(/y² + 4 + 2) 2) 4x2…

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Q: Eliminate the parameter in the parametric equations x(t) = e³t and y(t) = 3e' to a Cartesian form of…

A: Givenx(t)=e3t    ....(1)y(t)=3et     ....(2)

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

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Q: 3. What is the parametric equation for the line through the point (1 ,2, 3) parallel to the x- axis?…

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Q: Find parametric equations for the line through the point, that is parallel to the given plane, and…

A: given point 0,2,2 given plane x+y+z=3 given line x=1+t,y=2-t,z=2t

Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 2x + 4y +…

A: Equation of line normal to graph of functions f(x) is :  r<t> = <x0,y0,z0> +…

Q: Find parametric equations for the lines in The line through (0, -7, 0) perpendicular to the plane x…

A: we know that equation of line in parametric form which passes through pointx1,y1,z1 and…

Q: Find parametric equations for the line described below. The line through the point P(2, 5, 0) and…

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Q: Find parametric equations for the line described below. The line through the point P(3, 2, 4) and…

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Q: Q.1 Find the parametric equation of the line that 2)Passes point (1,3,7) and orthogonal to xy-…

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Q: find a parametric equation for the line that is perpendicular to the graph of the given equation at…

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Q: 2. Find the parametric equations of the line passing through the point (-1,4, -3) and is parallel to…

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Q: Q1: Two lines in space {x 1- 2t,y 2 +3t,z =-1+t} and {x = 1+t,y% 3+ 2t,z = -1+3t} find the angle…

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Q: Eliminate the parameter, t, in the parametric equations, x = 6cost and y = 3sint. 2 x2 + y2 = 36 x2…

A: We have to eliminate the parameter, t, in the parametric equations, x = 6cost and y = 3sint.

Q: Find the parametric equations for the line of intersection of the planes x+y-z = -20 and 9.x + 3y +…

A: Given planes, x+y-z=-20 and 9x+3y+z=16. The objective is to find the parametric equations for the…

Q: Find parametric equations for the line through Po = (3, -1, 1) perpendicular to the plane 8x + 5y –…

A: Consider the point Po and the equation of the given plane. Find the vector Po and the direction…

Q: 3. What is the parametric equation for the line through the point (1,2,3) parallel to the y - axis?…

A: The solution is given as follows

Q: Complete the parametric equations of the line through the point (-3,1,-4) and perpendicular to the…

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

A: Given parametric equations, x=et,y=e3t+4 To find y.

Q: (a) Find parametric equations for the line through (5, 2, 4) that is perpendicular to the plane x -…

A: answer is in next step.

Q: It can be shown that the parametric equations I = x1 + (x2 – r1)t, y = Y1 + (y2 – Y1)t, where 0 < t…

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Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 2x + y…

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Q: B Find the parametric equation of the plane passes through the point (-3,0,7) and perpendicular to…

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Q: (3) Find parametric equations for the line of intersection of the planes. x + y - z = 2 and y + z =…

A: Given equation of the planes are  x+y-z=2     y+z=0 we rewrite them as x+y-z-2=0, and    0x+y+z=0…

Q: Complete the parametric equations of the line through the point (8,6,-2) and perpendicular to the…

A: equation of line passing passing through the point 8,6,-2 and perpendicular to the plane , x-7y-z=-3

Q: Find parametric equations for the line that passes through the point (3, 6) and is parallel to the…

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Q: 277. Find parametric equations of the line passing through point P(-2, 1, 3) that is perpendicular…

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Q: Find the parametric equations for the line of the intersection L of the two planes. 6x – 3y+ z = 5…

A: Parametric equations of the line is :  x(t) = x0 + a t  y(t) = y0 + b t  z(t) = z0 + c t  Here ( x0…

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.