Let lį be the line described by the Cartesian equations • x = 1 • y-5 = 2(z-4) Let l2 be the line described by the Cartesian equations • x = -1 • y-5 = z-4 Compute the distance between l, and l2 .

Q: 20) Write an equation of a line perpendicular to y = x - 5, that passes through the %3D point (4, 0)

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Q: The distance between the line x - y + 3 = 0 and the line y = x + 2 is

A: The given two lines are x-y+3=0  and y=x+2. The equation of second line can be written as x-y+2=0.…

Q: . which point lies on the perpendicular bisector of the line defined by endpoints (-3,-2) and (5,4)?…

A: We use Hit and trial method to find point lies on perpendicular bisector

Q: Find an equation of the line through (-2, 5, 3) that is perpendicular to both u = (1, 1, 2) and the…

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Q: Compute the distance from the point (3, 0, -1) to the line containing the points (1,0,−4) and (1,…

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Q: Find the distance of the point (1,3) from the line 2x-3y+9=0 measured along a line x-y+1=0.

A: Firstly we will find a line passing through (1,3) and parallel to x-y+1=0 Then the point of…

Q: Can you find the distance between the line x-9=y-7=z-10 and the line x-11=y-11=3z-19?

A: detail solution written below

Q: Let A be the point with coordinates (-3, -2, 3) and let B be the point with coordinates (2, 0, 0).…

A: To find the distance from point D to line l.

Q: Is the line through the points (3, 4) and (-1, 2) parallel to the line 2x + 3y = 0? Justify your…

A: Given two points: 3, 4 and -1, 2            ……1   Given line: 2x+3y=0                       ……2

Q: True or False: (a) The lines y = 2x - 3 and y = -2x - 3 are perpendicular (b) The lines y = 2/5x +…

A:

Q: Find the equation of the line perpendicular to the lines x-1 x+1 쯤 and 1 and 2 == 2-1 2 2 4 3 = y-1…

A: (x-1)/2 = (y-1)/2 = (z-3)/2  And (x+1)/4 =y/3 =(z-1).

Q: What is the distance between the line with Cartesian equation x-7 = y-6 = z-12 and the line with…

A: The direction ratios of the line x-7=y-6=z-12 are b1=1,1,1 and that of x-10=y-11=3z-19 are also…

Q: Find equation of two different lines l2 and l3 through the point (6, -4) that are perpendicular to…

A: According to the Question , l2is prependicular to l1 (2x-3y=5) Now, 2x-3y=5⇒3y=2x-5⇒y=23x-53 ⇒Slope…

Q: Find the equations for the lines through the point (a, c) that are parallel to and perpendicular to…

A: Given query is to find the equation of the lines

Q: Let A be the point with coordinates (2, -1, 0) and let B be the point with coordinates (2, 0, 0).…

A: let A be the point with coordinates 2,-1,0 and let B be the point with coordinates 2,0,0 let l be…

Q: Find the distance between point (5,-1) and line x=3y-12.

A: Given: The point (5, -1) and the line  x = 3y -12. To find: The distance between the given point and…