10.1 - Projections of a curve

Consider the curve given by $\myv r(t) = t \hat i − \frac{\sqrt{3}}{2} t^2 \hat j + \frac12 t^2 \hat k$.

Sketch all three planar projections. Can you visualize the entire curve by looking at the projections? [Check yourself by using GeoGebra's Curve([x(t), y(t), z(t), t, t_min, t_max).]

Consider the curve described by $\myv r(t) = \myc{t \cos t , t \sin t ,t}$ Sketch all three planar projections. Can you visualize the entire curve by looking at the projections? [Check yourself by using Curve(....).]