# Two lines either intersect or are parallel 4 two

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3. Two lines either intersect or are parallel 4. Two lines parallel to a third line are parallel 5. Two planes orthogonal to a third plane are parallel 6. Two planes orthogonal to a line are parallel 7. A plane and a line either intersect or are parallel 8. Two planes either intersect or are parallel 9. Two lines parallel to a plane are parallel 10. Two lines orthogonal to a third line are parallel 11. Two planes parallel to a third plane are parallel Correct Answers: T F F T F T T T F F T 2. (1 pt) Given a the vector equation r ( t ) = ( - 3 - 3 t ) i + ( - 5 - 2 t ) j + ( 2 + 2 t ) k , rewrite this in terms of the parametric equations for the line. x(t) = y(t) = z(t) = Correct Answers: -3+(-3)*t -5+(-2)*t 2+2*t 3. (1 pt) Given a the vector equation r ( t ) = ( - 5 + t ) i +( - 4 - 3 t ) j +( 3 + 5 t ) k , rewrite this in terms of the symmetric equations for the line. (quotient involving x) (quotient involving y) = (quotient involving z) = Correct Answers: [x-(-5)]/1 [y-(-4)]/(-3) (z-3)/5 4. (1 pt) Vectors: Find the vector from the point ( 5 , - 1 , 6 ) to the point ( 1 , - 3 , - 5 ) . Enter the coordinates: ( , , ) Equations of lines: Consider the vector equation of the line through the two points listed above. For each equation listed below, answer T if the equation represents the line, and F if it does 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 T 5. (1 pt) Find the vector and parametric equations for the line through the point P(-1, 1, -4) and parallel to the vector 3 i - 4 j + 2 k .