Let / be the line described by the Cartesian equations • X=1 y-11= 2(z-8) Let , be the line described by the Cartesian equations • X= 1 • y-11 = z-8 Compute the distance between and I2.

Q: What is the horizontal of line through the point (4,-6)?

A: Solution: In the XY coordinate system, the point notation is always written as (x,y) And, x…

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: 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: The distance between the points (-2,2,0) and (1, -1,0) is 3/2. True False

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Q: What is the equation of the line if the line passes through points (1,5/2) and (2,3)?

A: Given: - The line passes through points are, 1,52 and 2,3 To find: - The equation of the line.

Q: Find a set of symmetric equations for the line “A" perpendicular to the lines having direction…

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Q: e. (-27,0,2)

A: Equation of the line is x-325=y-65 and z=2

Q: Let A be the point with coordinates (-3, 2, -1) and let B be the point with coordinates (2, 0, 0).…

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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: 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: 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: A) Write the equation of the line PARALLEL to y + 3x = -8 and passes through (6,-4) Do NOT use the…

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Q: Find the line perpendicular to y=2x-3 and through the point (2,-3) B) find the lines both parallel…

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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: What is the distance between these coordinates A(-5,5)  B(1,-2)

A: The formula to calculate the distance between two points Ax1,y1 and Bx2,y2 is given by…

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…

Q: What is the distance between the points ( 7 , − 1 ) and ( − 5 , 4 )

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Q: i 6i + 2j+ 2k + 2(i- 2j+2k) Find the shortest distance between lines -4i -i + 4(3i - 2)- 2k) and

A: The given lines are as follows- r→=6i^+2j^+λi^-2j^+2k^          ........(1)r→=-4i^-k^+μ3i^-2j^-2k^…

Q: What is the distance between the line with Cartesian equation x-5 = y-9 = z-3 and the line with…

A: The given equations of lines are: x-51=y-91=z-31 and x-81=y-131=3z-41