Consider the line L(t)= <-3,-5t,-1-t> in R^2. Then :  (check image for reference) L is Parallel/Perpendicular/Neither to the line < 4t-3,-4-2t> L is Parallel/Perpendicular/Neither to the line <3-3t,15t-5> L is Parallel/Perpendicular/Neither to the line <5t-3,4+5t> L is Parallel/Perpendicular/Neither to the line  <4+2t, -10t>

Q: Find x if the line through (x, 5) and (3, -1) has a slope of -(3/2).

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Q: The distance from the origin to the line passing through the points (0, 1,3) and (1,-1,2) is 14.

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Q: et L1 be the line that passes through (2, 1,0) in the direction of (1, -1,2) and L2 be the line that…

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Q: The distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3-2t ,y=-2t+1 ,z=t is

A: We are supposed to find the distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3-2t…

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

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Q: Draw the line through (- 1, 5) so that it has slope m =

A: We have to draw the equation of line passing through point -1, 5 and it has slope m=-23. We know the…

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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: ^ 2. (a) Find the line that contains the point M(0, 2,-5) and intersects the lines x-1 y+1 2+4 = 5 x…

A: Solve using line concept

Q: 74.) Find the equation of the line parallel to the line y=-8 and passing through the midpoint of…

A: Given a line y = -8 and a line segment formed by joining points (-4, 2) and (-2, 8).

Q: Verify that (3, 1) is the midpoint of the line segment joining (-2, 6) and (8, -4).

A: Consider a line segment AB such that A=x1, y1 &amp; B=x2, y2 Let P be the midpoint of the line…