Vector Calculus on TI-89 and TI-92 Plus

CommandComment
[t^3/3, t^2/2, 0] sto> rposition vector, r(t)
d(r, t) sto> vvelocity vector, v(t)
v/norm(v) | (t > 0) sto> zunit tangent vector, T(t)
d(z, t)/norm(d(z, t)) sto> nunit principal normal vector, N(t)
crossp(z, n) sto> bunit binormal vector, B(t)
norm(d(z, t))/norm(v) sto> kcurvature, k
d(v, t) sto> aacceleration vector, a(t)
det(augment(augment(v; a); d(a, t))) / norm(crossp(v, a))^2torsion vector, t