Differential Geometry Answers

let r(s)=(x(s),y(s),0) be a unit speed curve prove that K=|x'y''-x''y'|

let r(t)=(atcost,atsint,0) find the Frenet–Serret apparatus for regular curve?

Three consecutive vertices of a parallelogram are points (2, 4), (0, 0), and (6, 0). The fourth vertex is point

in a paralleogram abcd angle a= 50 degree b =?

if A_{ij} is a skew-symmetric tensor,then show that (B^i_jB^k_p+B^i_pB^k_j)A_ik=0

line segment ab =6 line segment cd=5 what is line segment ad ?

Solve the system of differential equations =xz+1, =-xy for x=0.3 using 4th order R-K method with y(0)=0, z(0)=1.