The vector

wequals$=$aiplus$+$bj

is perpendicular to the line

axplus$+$byequals$=$c

and parallel to the line

bxminus$$ayequals$=$c$.$

It is also true that the acute angle between intersecting lines that do not cross at right angles is the same as the angle determined by vectors that are either normal to the lines or parallel to the lines. Use this information to find the acute angle between the lines below.

StartRoot $3$ EndRoot$3$xminus$$yequals$=11,$

StartRoot $3$ EndRoot$3$xplus$+$yequals$=44$