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  3. letl1l2l3be lines with the following vector equationsl1rt 100t111l2ps 122s132l3qa...

Question: letl1l2l3be lines with the following vector equationsl1rt 100t111l2ps 122s132l3qa...

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. LetL1,L2,L3be lines with the following vector equationsL1:r(t) =〈1,0,0〉+t〈1,1,1〉L2:p(s) =〈−1,−2,−2〉+s〈−1,3,2〉L3:q(a) =〈0,−1,−1〉+a〈2,−6,−4〉a) Write symmetric equations forL1.b) Find the points (if any) whereL1intersects thexz-plane (the plane whose equation isy= 0).c) Find the points (if any) whereL1intersects the planex+y+z= 0d) Find the points (if any) whereL1intersects the plane2x−y−z= 0e) Determine whether any of the linesL1,L2,L3are parallel to each other.f) Determine whether any of the linesL1,L2,L3intersect each other, and find any pointsof intersection.g) Which of the linesL1,L2,L3are skew to each other?

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