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Please provide clear handwritings for answers and specific step by step explanations of questions 3 and 4. Thank you.

3. Are the plane 6z 3y - 4z-12 and line L 2, y 32t, z2-2t parallel? If so, find the distance between them. If they are not pa

4. The line r(t) = 〈1, 1,1〉 +t(1,3,-1) and the plane z +2y + 2z + 2 = 0 intersect at a single point. Find a point on the line

3. Are the plane 6z 3y - 4z-12 and line L 2, y 32t, z2-2t parallel? If so, find the distance between them. If they are not parallel, but are intersecting (at a single point), find the point of intersection. If they are none of the above, draw a cat.
4. The line r(t) = 〈1, 1,1〉 +t(1,3,-1) and the plane z +2y + 2z + 2 = 0 intersect at a single point. Find a point on the line at distance 3 from the plane.
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あ, xallel(6, 3,-1) s plane and dunt ane met arall (6,3,-4). Io,a,.2)キ0 an and Live a ulet sech -2-a (-L1- に 14 IL

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Please provide clear handwritings for answers and specific step by step explanations of questions 3 and 4. Thank you. 3. Are the plane 6z 3y - 4z-12 and line L 2, y 32t, z2-2t parallel? If so, find...
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