Find the Unit Vector

*JeffNYC*

A) Find the unit vector parallel to tan(x) at (Pi/4, 1)

B) Find the unit vector normal to tan(x) at (Pi/4, 1)

dy/dx tanx = sec²x and sec²x evaluated at x = Pi/4 is 2. So the slope of the parallel line is 2, but how do I then derive the unit vector?

JeffNYC	Find the Unit Vector Tweet A) Find the unit vector parallel to tan(x) at (Pi/4, 1) B) Find the unit vector normal to tan(x) at (Pi/4, 1) dy/dx tanx = sec²x and sec²x evaluated at x = Pi/4 is 2. So the slope of the parallel line is 2, but how do I then derive the unit vector?