Vanessa tried to solve an equation step by step. \qquad\begin{aligned} -12&=4(f-6) \\ -12&=4f-24&\green{\text{Ste p } 1} \\ 12&=4f&\blue{\text{Step } 2} \\ 4&=f&\purple{\text{Step } 3} \end{aligned} −12 −12 12 4 =4(f−6) =4f−24 =4f =f Step 1 Step 2 Step 3 Find Vanessa's mistake

Consider the following geometry problems in 3-space enter t or f depending on whether the statement is true or false. (you must enter t or f -- true and false will not work.) f equation editorequation editor 1. a plane and a line either intersect or are parallel t equation editorequation editor 2. two planes parallel to a third plane are parallel f equation editorequation editor 3. two lines either intersect or are parallel f equation editorequation editor 4. two planes orthogonal to a third plane are parallel f equation editorequation editor 5. two planes orthogonal to a line are parallel f equation editorequation editor 6. two planes either intersect or are parallel f equation editorequation editor 7. two lines orthogonal to a third line are parallel t equation editorequation editor 8. two lines parallel to a third line are parallel t equation editorequation editor 9. two planes parallel to a line are parallel f equation editorequation editor 10. two lines parallel to a plane are parallel f equation editorequation editor 11. two lines orthogonal to a plane are parallel