- Nov 26, 2000
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Find the expression for the unit vector tangential to the curve given in cylindrical coordinates by r^2=sin (2*phi)=1, z=0
it seems pretty easy but i havent taken calc 3 since freshman year an now im a junior taking Electromagnetic Field Theory
i tried solving the eq for r in terms of phi and taking that derivative with respect to phi but it gives me
-cot(2*phi)/sqrt(2*phi) and i know thats not right
the answer is + or - (cos (2*phi) * Ar - sin (2*phi) *A phi)
Ar is just the unit vector in the r hat direction
and A phi is just the unit vector in the phi hat direction
any help would greatly be apprectiated
it seems pretty easy but i havent taken calc 3 since freshman year an now im a junior taking Electromagnetic Field Theory
i tried solving the eq for r in terms of phi and taking that derivative with respect to phi but it gives me
-cot(2*phi)/sqrt(2*phi) and i know thats not right
the answer is + or - (cos (2*phi) * Ar - sin (2*phi) *A phi)
Ar is just the unit vector in the r hat direction
and A phi is just the unit vector in the phi hat direction
any help would greatly be apprectiated