6. Find the exact value of the distance of between the line passing through (1, 3, 2) and (4, 0, 4) and the line passing through the points (-1, 2, 3) and (1, 4, -1).

Q: Find the point on the line x - 3y+9 = 0 that is closest to the point (-1, 3). 1) (-0.9, 2.7) O 2)…

A: Closest distance form a point to a line is normal distance from point to line.

Q: Verify that the points (7, 12) and (11, 18) divide the line segment joining (3, 6) and (15, 24) into…

A: Given points are x1,y1=3,6x2,y2=7,12x3,y3=11,18x4,y4=15,24

Q: 17. The two points on the lines 2x + 3y +4 = 3x + 4y – 6 =0 are: O which are at distance 2 fror A.…

A:

Q: Find x such that the line through (2, - 3) and (3, 2) is perpendicular to the line through (- 2, 4)…

A: We have the points A(2,-3),B(3,2),C(-2,4) and D(x,-1) We have to find the value of x such that the…

Q: Show that the line [3, 2, 3] passes through the point of intersection of the lines [2, 1, 1] and…

A: It has to be proved that the line 3,2,3 passes through the point of intersection of the lines 2,1,1…

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

A:

Q: Find the equation of the line that passes through point (1,3) and is perpendicular to the that…

A:

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: Determine the equation of the line L which passes through the points A = (8, 11) and B = (12, 17)

A:

Q: Find the equation for the line passing through (5, -4) and (-1, -1) and then use that information to…

A:

Q: Find the line passsing through the point (1,3) and (4,6)

A: