Show that the lines given by the equatio...

Show that the lines given by the equations `ax + by + c = 0 and bx -ay + d = 0` (where `a, b, c, d in R`) are perpendicular by finding a vector inthe direction of each line and showing that these vectors are orthogonal.(Hint: Watch out for the cases in which a or b equals zero.)

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Show that the lines given by the equations `ax + by + c = 0 and bx -ay + d = 0` (where `a, b, c, d in R`) are perpendicular by finding a vector inthe direction of each line and showing that these vectors are orthogonal.(Hint: Watch out for the cases in which a or b equals zero.)

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