To help me understand a book problem This is Differential Geometry explain and solve make sure the answer is correctQuestion)Prove that no four distinct points on the twisted cubic (see Example 1(e)) lie on a plane.

$1. EXAMPLES, ARCLENGTH PARAMETRIZATION 3 (e) Now consider the twisted cubic in R3, illustrated in Figure 1.3, given by a (t ) = (1,12, 13), 1ER. Its projections in the xy-, xz-, and yz-coordinate planes are, respectively, y = x2, z = x3, and z2 = y3 (the cuspidal cubic)