The electric field in the xy-plane due to an infinite line of charge along the z-axis is a gradient field with a potential function v(x, y)equalsc ln (startfraction r 0 over startroot x squared plus y squared endroot endfraction ), where cgreater than0 is a constant and r 0 is a reference distance at which the potential is assumed to be 0. use this information to answer parts a through c.. find the components of the elactric field in the x-and y-directions, where ex. y)vx, y). choose the correct answar below where c> 0 is a constant and ro is a reference distance at which the potential is assumed to be 0. use this information to a. (x. y) cro ob. e- (x. y) o c. (x y) (x y)

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