Find the perpendicular distance between the skew lines х — 1 l1 : 5 y – 2 у — z +1 x + 2 y+1 z – 3 and l2 : 2 3 4 2 -3

Q: x +1 L1: 2 у — 2 y 1 у — 2 z-1 x +1 L2: 1 y – 2 -1 2 3.

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Q: Find the intersection of the planes x + y + z = 1 and 3x − 2y +z = 5.

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A: We can solve the given problem as follows:

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Q: 3) Find the distances: a. Between ₁ = (3 + t, −2+ 3t, -t) and 1₂ = (1 + 2t, t, 5+ 4t). b. Between…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

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Q: If the line x=1+(a+2)t, y=1-bt, z=-1+(c-1)t and the plane -x+2y-3z=0 are orthogonal to each other.…

A: The parametric equation of the given line is  x=1+a+2ty=1-btz=-1+c-1t The general form of the…