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3. Two lines either intersect or are parallel4. Two lines parallel to a third line are parallel5. Two planes orthogonal to a third plane are parallel6. Two planes orthogonal to a line are parallel7. A plane and a line either intersect or are parallel8. Two planes either intersect or are parallel9. Two lines parallel to a plane are parallel10. Two lines orthogonal to a third line are parallel11. Two planes parallel to a third plane are parallelCorrect Answers:•T•F•F•T•F•T•T•T•F•F•T2.(1 pt) Given a the vector equationr(t) = (-3-3t)i+(-5-2t)j+ (2+2t)k, rewrite this in terms of the parametricequations for the line.x(t) =y(t) =z(t) =Correct Answers:•-3+(-3)*t•-5+(-2)*t•2+2*t3.(1 pt) Given a the vector equationr(t) = (-5+t)i+(-4-3t)j+(3+5t)k, rewrite this in terms of the symmetric equationsfor the line.(quotient involving x)(quotient involving y) =(quotient involving z) =Correct Answers:•[x-(-5)]/1•[y-(-4)]/(-3)•(z-3)/54.(1 pt)Vectors:Find the vector from the point(5,-1,6)to thepoint(1,-3,-5).Enter the coordinates: (,,)Equations of lines:Consider the vector equation of the linethrough the two points listed above. For each equation listedbelow, answerTif the equation represents the line, andFif itdoes not.Here is the list of questions:1.(x,y,z) = (1,-3,-5)+t(5,-1,6)2.(x,y,z) = (5,-1,6)+t(+4,+2,+11)3.(x,y,z) = (5,-1,6)+t(1,-3,-5)4.(x,y,z) = (5,-1,6)+t(-4,-2,-11)5.(x,y,z) = (1,-3,-5)+t(-4,-2,-11)Correct Answers:•-4•-2•-11•F•T•F•T•T5.(1 pt)Find the vector and parametric equations for the line through thepoint P(-1, 1, -4) and parallel to the vector 3i-4j+2k.