s) Find the parametric equations of the line that is perpendicular to the plane 2x +y+3z = 4 through the point (0, 3, 5).

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 equations for the rectangular equation that satisfies the given condition.…

A: Given :                y = 2 x - 5  ,  t = 0        at point (3,1)

Q: Find the distance between the skew lines with parametric equations x = 1 + t, y = 2 + 6t, z = 2t,…

A: The distance from a point P(x1,y1,z1) to a plane  is

Q: Complete the parametric equations of the line through the point (-6,0,-8) and perpendicular to the…

A:

Q: Find parametric equations for the line segment joining the points (5, 3) and (11, 11). x=t, y = 3 +…

A: Solution

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

A:

Q: Find parametric equations for the lines in The line through (2, 4, 5) perpendicular to the plane 3x…

A:

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

A:

Q: A parametric equation of the line of the intersection of the planes x - z = 0 and x – y + 2z = 0 is

A:

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

A:

Q: Can someone help me out with this question?

A: On a horizontal line, the y value is fixed.  And x values are changing.

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

A: What is the parametric equations of line line through the point (1,2,-1)and is perpendicular to the…

Q: (a) Prove that the lines with parametric equations: x = 1+t, y = 1+ 6t, z = 2t and x = 1+ 2s, y = 5…

A: aLet the L1 be the line:x=1+t, y=1+6t,z=2tand L2 be the line:x=1+2s, y=5+15s, z=-2+6sThe direction…

Q: Find parametric equation of the line joining points P{(2,4, –1) and P2(5,0, 7). Where does it…

A: To do this we need the vector V→ that will be parallel to the line. This can be any vector as long…

Q: Find parametric equations for the intersection of the planes 2x + y − 3z = 0 and x + y = 1

A: Two planes lying in 3-Dimensional plane can intersect each other at any point and that point can lie…

Q: Find parametric equations for the line segment joining the points (9, 8) and (16, 11). O x=9+7t, y…

A:

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 parametric equations for the line through P0 = (3, −1, 1) perpendicular to the plane 3x + 5y −…

A: A line L in sace with direction vector d=d1,d2,d3 that asses throughthe point P=(x0,y0,z0) can be…

Q: In Exercises 23–38, find parametric equations for the given curve. 30. Line through (2, 5)…

A:

Q: d) Find the parametric equations for the line of intersection of the two planes.

A:

Q: The angle and the parametric equations for the intersect line between planes a + y = 1, and 2r+y-2z…

A: Given, x+y=1, 2x+y-2z=2 we know angle between two plane is…

Q: Complete the parametric equations for the line where the planes - 7x + y + 3z = 3 and 4x7y + z = 23…

A:

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

A: We need to find the vector equation of the line of intersection. In order to get it, we’ll need to…

Q: Find a parametric representation of the line through the point P(3,1,-4) and perpendicular to the…

A:

Q: What are the parametric equations for the intersection of the planes x - y - z = 1 and 2x + 3y + z…

A:

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 the parametric and symmetric equation for the satisfying the given condition. 1. Through the…

A:

Q: Find the angle between the two planes x- 2y + z = 29, 2x + 3y – 2z = 6. And also find the parametric…

A: here we will find angle between two planes and parametric equation of plane's line of intersection,

Q: Find a set of parametric equations for the curve of intersection of the paraboloid r² + 4y² -z = 0…

A:

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

A:

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

A:

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

A:

Q: Find the symmetric and parametric equation of the line that is the intersection between the planes…

A:

Q: y+3x-6z=8

A: answer is in next step

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

A:

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: a) Prove that the lines with parametric equations: x = 1+ t, y = 1 + 6t, z = 2t and x = 1+ 2s, y = 5…

A: Given that: Line L1:  x=1+t, y=1+6t, z=2tLine L2:  x=1+2s, y=5+15s, z=-2+6s

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 angle and the parametric equations for the intersect line between planes a+y = 1, and 2r +y - 2z…

A:

Q: Find a set of parametric equations for the line passing through the point       (1, 0, 2) that is…

A:

Q: Q2 What are the parametric equations for the line through the point (6,-3,1) that is orthogonal to…

A: We have to find the equation of parametric line

Q: The angle and the parametric equations for the intersect line between planes x + y = 1, and 2x + y–…

A:

Q: Find the parametric equation of the line of intersection of the planes 2x+y-z=1 and x-2y+3z-9

A: First find cross product take normal vector useformula

Q: Find the distance between point A(3, 4, 4) and the line of parametric equations x = -1-t, y = -t, z…

A:

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…

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