If ?1 is the line through ?(1,2,7) and ?(−2,3, −4) and ?2 is the line through ?(2, −1,4) and ?(5,7, −3), prove that ?1 and ?2 are skew lines (lines that do not lie in one plane) and find the distance between them.

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Q: Find angle 5 if angle 3 = 2(3x-4) and angle 5 = 5(3x+4).

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Q: determine if the two lines are parallel, orthogonal or neither. n) The line by i=(4– 7t,-10+5t,21–…

A: Given

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Q: 10) P (-2, 0), Q (10, -14), and R (-4, -2), then determine the distance between each point. Th state…

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Q: 35. If the distance between the points A(-2,4) and B(x,-8) is 13, what are the possible values of x?…

A: distance AB =(-2-x)2 +(4-(-8))2 13 = (-2-x)2 +144 169 (-2-x)2 + 144 (-2-x)2  = 25 -2 -x =+ 5 -2 -x =…

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Q: ) 1. Find the equation of the line that passes through the points (9,7) and (11,17). Give answer in…

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Q: 8. For each pair of lines and m below determine whether the lines intersect, are parallel or…

A: Please see the below pictures for detailed solution.

Q: Q2) a.) Find the intersection coordinates of lines passing from AC and BD. +x 17.42 BO--- -165.05…

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Q: 4 3 D B C -5 -4 -3 -2 -1 -1 2 4 A -2 P -3 -4 -5 Consider the line segment PQ with endpoints P(-3,…

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Q: Show that (4, —5) and (15, 12) are perpendicular.

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Q: Find the distances: a. Between 4 = (3+t,-2+ 3t,-t) and l2 = (1+ 2t, t,5+ 4t). %3D %3D b. Between the…

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